This section provides details for each class and property defined by MathModDB Ontology.
Named Individuals
- Acceleration
- Action Potential Propagation Model
- Active Contractile Force
- Active Contractile Force (Definition)
- Adjacency Matrix
- Age Of An Individual
- Allee Effect
- Allee Threshold
- Allen (1993) Some Discrete-Time SI, SIR and SIS Epidemic Models
- Ampere Law
- Amplitude Of Electron Wave
- Angular Momentum
- Anharmonicity Constant
- Anharmonicity Constant (Definition)
- Applied External Voltage
- Archaeology
- Area
- Artificial Neural Network
- Astronomy
- Asymptomatic Infection Rate
- Asymptomatic Recovery Rate
- Attraction Force At Opinion
- Attraction Force At Opinion Formulation
- Average Opinion Of Followers Of Influencers
- Average Opinion Of Followers Of Influencers In The Partial Mean Field Model
- Average Opinion Of Followers Of Infuencers Formulation
- Average Opinion Of Followers Of Infuencers In The Partial Mean Field Model Formulation
- Average Opinion Of Followers Of Media
- Average Opinion Of Followers Of Media Formulation
- Average Opinion Of Followers Of Media In The Partial Mean Field Model
- Average Opinion Of Followers Of Media In The Partial Mean Field Model Formulation
- Azimuthal Angle
- Balanced Truncation
- Balanced Truncation (Bi-linear)
- Balanced Truncation (Linear)
- Balancing Transformation
- Band Edge Energy For Conduction Band
- Band Edge Energy For Valence Band
- Beavers-Joseph Coefficient
- Beavers–Joseph-Saffman Condition
- Between Population Contact Rate
- Between Population Contact Rate Equation
- Bi Bi Reaction
- Bi Bi Reaction following Ordered Mechanism
- Bi Bi Reaction following Ordered Mechanism with single central complex
- Bi Bi Reaction following Ping Pong Mechanism
- Bi Bi Reaction following Theorell-Chance Mechanism
- Bi Bi Reaction Ordered Mechanism (ODE Model)
- Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption)
- Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 and single central Complex (Steady State Assumption)
- Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption)
- Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 and single central Complex (Steady State Assumption)
- Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption)
- Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 and single central Complex (Steady State Assumption)
- Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products (Steady State Assumption)
- Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products and single central Complex (Steady State Assumption)
- Bi Bi Reaction Ordered Mechanism ODE System
- Bi Bi Reaction Ordered Mechanism with single central Complex (ODE Model)
- Bi Bi Reaction Ordered Mechanism with single central Complex ODE System
- Bi Bi Reaction Ping Pong Mechanism (ODE Model)
- Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption)
- Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption)
- Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption)
- Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model without Products (Steady State Assumption)
- Bi Bi Reaction Ping Pong Mechanism ODE System
- Bi Bi Reaction Theorell-Chance Mechanism (ODE Model)
- Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption)
- Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption)
- Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption)
- Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model without Products (Steady State Assumption)
- Bi Bi Reaction Theorell-Chance Mechanism ODE System
- Binary Decision Variable
- Binary Decision Variable (Definition)
- Biology
- Biomechanics
- Biophysics
- Birth Rate
- Bisswanger (2017) Enzyme Kinetics
- Boltzmann Approximation For Electrons
- Boltzmann Approximation For Holes
- Boltzmann Constant
- Boolean Ring
- Boolean Variable
- Boundary Conditions of Electrophysiological Muscle ODE System
- Briggs (1925) A note on the kinetics of enzyme action
- Calculation of Deformation and Concentration
- Celestial Mechanics
- Center Of Province
- Centrifugal Distortion Constant
- Change In Length
- Change In Opinions Of Individuals
- Change In Opinions Of Influencers
- Change In Opinions Of Influencers In The Partial Mean Field Model
- Change In Opinions Of Media
- Change In Opinions Of Media In The Partial Mean Field Model
- Charge Transport
- Charge Transport Model
- Chemical Potential
- Chemical Reaction Kinetics
- Civil Engineering
- Classical Acceleration
- Classical Approximation
- Classical Brownian Equation
- Classical Brownian Model
- Classical Density (Phase Space)
- Classical Dynamics Model
- Classical Fokker Planck Equation
- Classical Fokker Planck Model
- Classical Force
- Classical Hamilton Equations
- Classical Hamilton Equations (Leap Frog)
- Classical Hamilton Function
- Classical Langevin Equation
- Classical Langevin Model
- Classical Liouville Equation
- Classical Mechanics
- Classical Momentum
- Classical Momentum (Definition)
- Classical Newton Equation
- Classical Newton Equation (Stoermer Verlet)
- Classical Position
- Classical Time Evolution
- Classical Velocity
- Closed System Approximation
- Coefficient Scaling Infectious To Exposed
- Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)
- Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition, Definition)
- Complex Number (Dimensionless)
- Complexed Enzyme Concentration
- Computational Social Science
- Concentration
- Condition For Positive Solutions In The Multi-Population SI Model
- Condition For Positive Solutions In The Multi-Population SIR Model
- Condition For Positive Solutions In The Multi-Population SIS Model
- Condition For Positive Solutions In The SIR Model
- Condition For Positive Solutions In The SIR Model with Births and Deaths
- Condition For Positive Solutions In The SIS Model
- Condition For Positive Solutions In The SIS Model with Births and Deaths
- Condition To Keep Susceptibles Positive
- Conservation Law
- Conservation of City Numbers
- Constant Population Size
- Contact Network
- Contact Network (Definition)
- Contact Network (Time-dependent)
- Contact Network (Time-dependent, Definition)
- Contact Network Constraint
- Contact Rate
- Contact Rate Between Two Groups
- Continuity Equation
- Continuity Equation For Electrons
- Continuity Equation For Electrons (Finite Volume)
- Continuity Equation For Holes
- Continuity Equation For Holes (Finite Volume)
- Continuity of the Normal Mass Flux
- Continuity of the Normal Stresses
- Continuous Rate of Change of Infectious in the SI Model
- Continuous Rate of Change of Infectious in the SIR Model
- Continuous Rate of change of Infectious in the SIS Model
- Continuous Rate of Change of Removed in the SIR Model
- Continuous Rate of Change of Susceptibles in the SI Model
- Continuous Rate of change of Susceptibles in the SIR Model
- Continuous Rate of change of Susceptibles in the SIS Model
- Continuous Susceptible Infectious Model
- Continuous Susceptible Infectious Removed Model
- Continuous Susceptible Infectious Susceptible Model
- Continuum Mechanics
- Control System Duration
- Control System Initial
- Control System Initial (Reduced)
- Control System Input
- Control System Input Bilinear
- Control System Input Bilinear (Reduced)
- Control System Input Linear
- Control System Input Linear (Reduced)
- Control System Lagrange Multiplier
- Control System Matrix A
- Control System Matrix A (Reduced)
- Control System Matrix A (Reduced, Definition)
- Control System Matrix B
- Control System Matrix B (Reduced)
- Control System Matrix B (Reduced, Definition)
- Control System Matrix C
- Control System Matrix C (Reduced)
- Control System Matrix C (Reduced, Definition)
- Control System Matrix D
- Control System Matrix D (Reduced)
- Control System Matrix D (Reduced, Definition)
- Control System Matrix N
- Control System Matrix N (Reduced)
- Control System Matrix N (Reduced, Definition)
- Control System Model
- Control System Model (Bilinear)
- Control System Model (Linear)
- Control System Output
- Control System Output Linear
- Control System Output Linear (Reduced)
- Control System Output Quadratic
- Control System Output Quadratic (Reduced)
- Control System State
- Control System State (Reduced)
- Control System State (Reduced, Definition)
- Control System Time Evolution
- Control System Time Evolution (Bi-linear)
- Control System Time Evolution (Linear)
- Control Volume
- Control Volume (Definition)
- Coriolis Coupling Constant
- Costs
- Costs of Line Concept
- Costs per Unit
- Coulomb Friction Of Two Particles
- Coupling Current
- Cross Section
- Cundall (1979) A discrete numerical model for granular assemblies
- Current Density
- Current Flow in Semiconductor Devices
- Current Procedural Terminology
- Darcy Equation
- Darcy Equation (Euler Backward)
- Darcy Equation (Finite Volume)
- Darcy Model
- Darcy Model (Discretized)
- Darwin-Howie-Whelan Equation for a strained crystal
- Darwin-Howie-Whelan Equation for an unstrained crystal
- de Broglie Wavelength
- de Broglie Wavelength (Definition)
- Death Count
- Decision Variable
- Demography
- Denoising for Improved Parametric MRI of the Kidney
- Density
- Density Fraction Coefficient
- Density Of Air
- Density Of Electrons
- Density Of Holes
- Density Of States For Conduction Band
- Density Of States For Valence Band
- Detailed Balance Principle
- Diffusion Coefficient
- Diffusion Coefficient for SEIR Model
- Diffusion Flux
- Diffusion Model
- Dirac Delta Distribution
- Dirichlet Boundary Condition
- Dirichlet Boundary Condition For Electric Potential
- Dirichlet Boundary Condition For Electron Fermi Potential
- Dirichlet Boundary Condition For Hole Fermi Potential
- Discrete Element Method
- Discrete Susceptible Infectious Model
- Discrete Susceptible Infectious Removed Model
- Discrete Susceptible Infectious Susceptible Model
- Displacement
- Displacement Muscle Tendon
- Displacement Of Atoms
- Dissociation Constant
- Dixon Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption)
- Dixon Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption)
- Dixon Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption)
- Dixon Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption)
- Doping Profile
- Drag Coefficient
- Drift (Velocity)
- Drift-Diffusion Model
- Duration
- Duration per Unit
- Dynamical Electron Scattering Model
- Eadie (1942) The Inhibition of Cholinesterase by Physostigmine and Prostigmine
- Eadie Hofstee Equation (Uni Uni Reaction without Product - Steady State Assumption)
- Eadie Hofstee Equation (Uni Uni Reaction without Product - Irreversibility Assumption)
- Eadie Hofstee Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption)
- Eadie Hofstee Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption)
- Eadie Hofstee Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption)
- Eadie Hofstee Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption)
- Eadie Hofstee Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption)
- Earth Mass
- Earth Radius
- Edges
- Effective Conductivity
- Effective Mass
- Effective Mass (Solid-State Physics)
- Effective Mass (Spring-Mass System)
- Efficient Numerical Simulation of Soil-Tool Interaction
- Egyptology
- Eigenstress Of Crystal
- Elastic Stiffness Tensor
- Electric Capacitance
- Electric Charge
- Electric Charge Density
- Electric Conductivity
- Electric Current
- Electric Current Density
- Electric Current Density Of Electrons
- Electric Current Density Of Electrons (Definition)
- Electric Current Density Of Holes
- Electric Current Density Of Holes (Definition)
- Electric Dipole Moment
- Electric Field
- Electric Polarizability
- Electric Potential
- Electric Potential Fourier Coefficients
- Electrode Interfaces
- Electrodynamics
- Electromagnetic Fields And Waves
- Electromagnetism
- Electron Mass
- Electron Shuttling Model
- Electrophysiological Muscle Model
- Electrophysiological Muscle ODE System
- Elementary Charge
- Empirical Distribution Of Individuals
- Empirical Distribution Of Individuals Formulation
- Energy
- Enzyme - Product 1 - Complex Concentration ODE (Bi Bi Reaction Ordered with single central Complex)
- Enzyme - Product 1 - Complex Concentration ODE (Bi Bi Reaction Ordered)
- Enzyme - Product 1 - Product 2 - Complex Concentration ODE (Bi Bi Reaction Ordered)
- Enzyme - Product 1 - Product 2 Complex Concentration
- Enzyme - Product 1 Complex Concentration
- Enzyme - Product 2 - Complex Concentration ODE (Bi Bi Reaction Theorell-Chance)
- Enzyme - Product 2 Complex Concentration
- Enzyme - Substrate - Complex Concentration ODE (Uni Uni Reaction)
- Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ordered with single central Complex)
- Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ordered)
- Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ping Pong)
- Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Theorell-Chance)
- Enzyme - Substrate 1 - Substrate 2 - Complex Concentration ODE (Bi Bi Reaction Ordered)
- Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 - Complex Concentration ODE (Bi Bi Reaction Ordered with single central Complex)
- Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 Complex Concentration
- Enzyme - Substrate 1 - Substrate 2 Complex Concentration
- Enzyme - Substrate 1 Complex Concentration
- Enzyme Concentration
- Enzyme Concentration ODE (Bi Bi Reaction Ordered with single central Complex)
- Enzyme Concentration ODE (Bi Bi Reaction Ordered)
- Enzyme Concentration ODE (Bi Bi Reaction Ping Pong)
- Enzyme Concentration ODE (Bi Bi Reaction Theorell-Chance)
- Enzyme Concentration ODE (Uni Uni Reaction)
- Enzyme Conservation
- Enzyme Kinetics
- Enzyme-Substrate Complex Concentration
- Epidemiology
- Equilibrium Constant
- Equilibrium Constant (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption)
- Equilibrium Constant (Bi Bi Reaction Ordered - Steady State Assumption)
- Equilibrium Constant (Bi Bi Reaction Ordered - Steady State Assumption) (Definition)
- Equilibrium Constant (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)
- Equilibrium Constant (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)
- Ermoneit (2023) Optimal control of conveyor-mode spin-qubit shuttling in a Si/SiGe quantum bus in the presence of charged defects
- Euler Backward Method
- Euler Forward Method
- Euler Number
- Excess Substrate Assumption
- Excitation Error
- Expectation Value
- Expectation Value (Quantum Density)
- Expectation Value (Quantum Density, Definition)
- Expectation Value (Quantum State)
- Expectation Value (Quantum State, Definition)
- Exposure Of An Individual
- External Chemical Potential
- External Force Density
- Extract Logical Rules
- Extrinsic Mortality
- Far Field Radiation
- Faraday Law
- Feedforward Neural Network
- Fermi Potential For Electrons
- Fermi Potential For Holes
- Fiber Contraction Velocity
- Fiber Stretch
- Fick Equation
- Finite Volume Method
- Fixed Costs
- Flow in Porous Media
- Fluid Density
- Fluid Dynamic Viscosity (Free Flow)
- Fluid Dynamic Viscosity (Porous Medium)
- Fluid Intrinsic Permeability (Porous Medium)
- Fluid Kinematic Viscosity (Free Flow)
- Fluid Pressure (Free Flow)
- Fluid Pressure (Porous Medium)
- Fluid Velocity (Free Flow)
- Fluid Velocity (Porous Medium)
- Fluid Viscous Stress
- Flux Of Electrons
- Flux Of Holes
- Force
- Force Constant (Anharmonic)
- Force Constant (Harmonic)
- Force Density
- Fourier Equation
- Fraction Of Population Density Of Exposed
- Fraction Of Population Density Of Exposed Formulation
- Fraction Of Population Density Of Infectious
- Fraction Of Population Density Of Infectious Formulation
- Fraction Of Population Density Of Removed
- Fraction Of Population Density Of Susceptibles
- Fraction Of Population Density Of Susceptibles Formulation
- Free Energy Density
- Free Fall Determine Gravitation
- Free Fall Determine Time
- Free Fall Determine Velocity
- Free Fall Equation (Air Drag)
- Free Fall Equation (Non-Uniform Gravitation)
- Free Fall Equation (Vacuum)
- Free Fall Height
- Free Fall Impact Time
- Free Fall Impact Velocity
- Free Fall Initial Condition
- Free Fall Initial Height
- Free Fall Initial Velocity
- Free Fall Mass
- Free Fall Model (Air Drag)
- Free Fall Model (Non-Uniform Gravitation)
- Free Fall Model (Vacuum)
- Free Fall Terminal Velocity
- Free Fall Terminal Velocity (Definition)
- Free Fall Time
- Free Fall Time (Definition)
- Free Fall Velocity
- Free Flow Coupled to Porous Media Flow
- Free Flow of an Incompressible Fluid
- Frequency
- Friction Coefficient
- Gamma-Gompertz-Makeham Model
- Gamma-Gompertz–Makeham Law
- Gattermann (2017) Line pool generation
- Gauss Law (Electric Field)
- Gauss Law (Magnetic Field)
- Gaussian Distribution
- Gaussian Distribution (Definition)
- Gaussian Noise Model
- Gompertz Law
- Gompertz–Makeham Law
- Gramian Generalized Controllability
- Gramian Generalized Controllability (Definition)
- Gramian Generalized Observability
- Gramian Generalized Observability (Definition)
- Gramian Matrix
- Gramian Matrix Controllability
- Gramian Matrix Controllability (Definition)
- Gramian Matrix Observability
- Gramian Matrix Observability (Definition)
- Graph Type Identifier
- Graph Type Identifier (Definition)
- Gravitational Acceleration (Earth Surface)
- Gravitational Acceleration (Earth Surface, Definition)
- Gravitational Constant
- Gravitational Effects On Fruit
- Gröbner Basis
- H2 Optimal Approximation
- H2 Optimal Approximation (Bi-linear)
- H2 Optimal Approximation (Linear)
- Hanes (1932) Studies on plant amylases: The effect of starch concentration upon the velocity of hydrolysis by the amylase of germinated barley
- Hanes Woolf Equation (Uni Uni Reaction without Product - Steady State Assumption)
- Hanes Woolf Equation (Uni Uni Reaction without Product - Irreversibility Assumption)
- Hanes Woolf Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption)
- Hanes Woolf Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption)
- Hanes Woolf Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption)
- Hanes Woolf Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption)
- Hanes Woolf Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption)
- Hankel Singular Value
- Heat Conduction Model
- Heat Flux
- Heat Transport
- Helfmann (2023) Modelling opinion dynamics under the impact of influencer and media strategies
- Heterogeneity of Death Rate
- Hill-Type Two-Muscle-One-Tendon Model
- Hill-Type Two-Muscle-One-Tendon ODE System
- Hofstee (1959) Non-inverted versus inverted plots in enzyme kinetics
- Homogeneous Neumann Boundary Conditions
- Homs-Pons (2024) Coupled simulations and parameter inversion for neural system and electrophysiological muscle models
- Hooke Law (Linear Elasticity)
- Hooke Law (Spring)
- Hydraulic Conductivity
- Hyperstress Potential
- Ideal
- Identify Destruction Rules in Ancient Egyptian Objects
- Image Denoising
- Imaging of Nanostructures
- Individual Relationship Matrix
- Inertia Parameter For Opinion Changes Of Influencers
- Inertia Parameter For Opinion Changes Of Media
- Infected Recovery Rate
- Infectious
- Infectious At Time Step n+1 in the Multi-Population SI Model
- Infectious At Time Step n+1 in the Multi-Population SIR Model
- Infectious At Time Step n+1 in the Multi-Population SIS Model
- Infectious At Time Step n+1 in the SI Model
- Infectious At Time Step n+1 in the SIR Model
- Infectious At Time Step n+1 in the SIR Model with Births and Deaths
- Infectious At Time Step n+1 in The SIS Model
- Infectious At Time Step n+1 in The SIS Model with births and deaths
- Influencer Individual Matrix
- Inhibition Constant
- Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption)
- Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption)
- Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption, Definition)
- Inhibition Constant Product 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)
- Inhibition Constant Product 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)
- Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption)
- Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption)
- Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption, Definition)
- Inhibition Constant Product 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)
- Inhibition Constant Product 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)
- Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption)
- Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption)
- Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption, Definition)
- Inhibition Constant Substrate 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)
- Inhibition Constant Substrate 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)
- Inhibition Constant Substrate 2 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption)
- Inhibition Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption)
- Inhibition Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption, Definition)
- Inhibition Constant Substrate 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)
- Inhibition Constant Substrate 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)
- Inhibitor Concentration
- Initial Classical Density
- Initial Classical Momentum
- Initial Classical Position
- Initial Classical Velocity
- Initial Condition for the Multi-Population SI Model
- Initial Condition for the Multi-Population SIS Model
- Initial Condition for the Continuous SI Model and SIS Model
- Initial Condition for the Continuous SIR Model
- Initial Condition for the Discrete SI Model
- Initial Condition For The Discrete SIR Model with and without Births and Deaths
- Initial Condition for the Multi-Population SIR Model
- Initial Control State
- Initial Control State (Reduced)
- Initial Control State (Reduced, Definition)
- Initial Enzyme - Product 1 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model)
- Initial Enzyme - Product 1 - Product 2 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model)
- Initial Enzyme - Product 2 - Complex Concentration (Bi Bi Reaction Theorell-Chance - ODE Model)
- Initial Enzyme - Substrate - Complex Concentration (Uni Uni Reaction - ODE Model)
- Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model)
- Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Ping Pong - ODE Model)
- Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Theorell-Chance - ODE Model)
- Initial Enzyme - Substrate 1 - Substrate 2 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model)
- Initial Enzyme - Substrate 1 - Substrate 2 = Enzyme Product 1 - Product 2 - Complex Concentration (Bi Bi Reaction Ordered with single central Compelx - ODE Model)
- Initial Enzyme Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model)
- Initial Enzyme Concentration (Bi Bi Reaction Ordered - ODE Model)
- Initial Enzyme Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model)
- Initial Enzyme Concentration (Bi Bi Reaction Ping Pong - ODE Model)
- Initial Enzyme Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model)
- Initial Enzyme Concentration (Bi Bi Reaction Theorell-Chance - ODE Model)
- Initial Enzyme Concentration (Uni Uni Reaction - Michaelis Menten Model)
- Initial Enzyme Concentration (Uni Uni Reaction - ODE Model)
- Initial Inhibitor Concentration (Uni Uni Reaction)
- Initial Intermediate - Substrate 2 - Complex Concentration (Bi Bi Reaction Ping Pong - ODE Model)
- Initial Intermediate Concentration (Bi Bi Reaction Ping Pong - ODE Model)
- Initial Number Of Infected Cities
- Initial Product 1 Concentration (Bi Bi Reaction Ordered - ODE Model)
- Initial Product 1 Concentration (Bi Bi Reaction Ordered with Product 1 - Michaelis Menten Model)
- Initial Product 1 Concentration (Bi Bi Reaction Ordered without Product 1 - Michaelis Menten Model)
- Initial Product 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model)
- Initial Product 1 Concentration (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model)
- Initial Product 1 Concentration (Bi Bi Reaction Ping Pong without Product 1 - Michaelis Menten Model)
- Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model)
- Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model)
- Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance without Product 1 - Michaelis Menten Model)
- Initial Product 2 Concentration (Bi Bi Reaction Ordered - ODE Model)
- Initial Product 2 Concentration (Bi Bi Reaction Ordered with Product 2 - Michaelis Menten Model)
- Initial Product 2 Concentration (Bi Bi Reaction Ordered without Product 2 - Michaelis Menten Model)
- Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model)
- Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model)
- Initial Product 2 Concentration (Bi Bi Reaction Ping Pong with Product 2 - Michaelis Menten Model)
- Initial Product 2 Concentration (Bi Bi Reaction Ping Pong without Product 2 - Michaelis Menten Model)
- Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model)
- Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model)
- Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance without Product 2 - Michaelis Menten Model)
- Initial Product Concentration (Uni Uni Reaction - ODE Model)
- Initial Product Concentration (Uni Uni Reaction with Product)
- Initial Product Concentration (Uni Uni Reaction without Product)
- Initial Quantum Density
- Initial Quantum State
- Initial Reaction Rate
- Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 1
- Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 1 and single central Complex
- Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 2
- Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 2 and single central Complex
- Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Products 1 and 2
- Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Products 1 and 2 and single central Complex
- Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism without Products
- Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism without Products and single central Complex
- Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Product 1
- Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Product 2
- Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Products 1 and 2
- Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism without Products
- Initial Reaction Rate of Bi Bi Reaction following Theorell-Chance Mechanism with Product 1
- Initial Reaction Rate of Bi Bi Reaction following Theorell-Chance Mechanism with Product 1 and 2
- Initial Reaction Rate of Bi Bi Reaction following Theorell-Chance Mechanism with Product 2
- Initial Reaction Rate of Bi Bi Reaction following Theorell-Chance Mechanism without Products
- Initial Reaction Rate of Uni Uni Reaction with Product
- Initial Reaction Rate of Uni Uni Reaction without Product
- Initial Reaction Rate of Uni Uni Reaction without Product and Competitive Complete Inhibition
- Initial Reaction Rate of Uni Uni Reaction without Product and Competitive Partial Inhibition
- Initial Reaction Rate of Uni Uni Reaction without Product and Mixed Complete Inhibition
- Initial Reaction Rate of Uni Uni Reaction without Product and Mixed Partial Inhibition
- Initial Reaction Rate of Uni Uni Reaction without Product and Non-Competitive Complete Inhibition
- Initial Reaction Rate of Uni Uni Reaction without Product and Non-Competitive Partial Inhibition
- Initial Reaction Rate of Uni Uni Reaction without Product and Uncompetitive Complete Inhibition
- Initial Reaction Rate of Uni Uni Reaction without Product and Uncompetitive Partial Inhibition
- Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model)
- Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - ODE Model)
- Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model)
- Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model)
- Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model)
- Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model)
- Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model)
- Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - ODE Model)
- Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model)
- Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model)
- Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model)
- Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model)
- Initial Substrate Concentration (Uni Uni Reaction - ODE Model)
- Initial Substrate Concentration (Uni Uni Reaction)
- Initial Value For Electron Scattering
- Integer Number (Dimensionless)
- Integral Of The Population Density Fraction Of Exposed (Initial Condition)
- Integral Of The Population Density Fraction Of Infectious (Initial Condition)
- Integral Of The Population Density Fraction Of Susceptibles (Initial Condition)
- Integral Of The Total Population Density (Initial Condition)
- Interaction Force
- Interaction Force On An Individual
- Interaction Weight
- Interaction Weight Between Individuals
- Intermediate - Substrate 2 - Complex Concentration ODE (Bi Bi Reaction Ping Pong)
- Intermediate - Substrate 2 Complex Concentration
- Intermediate Concentration
- Intermediate Concentration ODE (Bi Bi Reaction Ping Pong)
- Intermolecular Potential
- Ion Current
- Irreversibility Assumption
- Isotropic Gaussian Function
- Isotropic Gaussian Function Formulation
- Jahnke (2022) Efficient Numerical Simulation of Soil-Tool Interaction
- Koprucki (2017) Numerical methods for drift-diffusion models
- Kostré (2022) Understanding the romanization spreading on historical interregional networks in Northern Tunisia
- Lagrange Multiplier
- Laplace Equation For The Electric Potential
- Length
- Length Of Unit Cell
- Leskovac (2003) Comprehensive Enzyme Kinetics
- Level Of Mortality
- Likelihood Value
- Limiting Distribution Of Individuals
- Limiting Distribution Of Individuals Formulation
- Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Backward)
- Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Backward, Definition)
- Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward)
- Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward, Definition)
- Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism with single central Complex - Forward)
- Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism with single central Complex - Forward, Definition)
- Limiting Reaction Rate (Uni Uni Reaction - Backward)
- Limiting Reaction Rate (Uni Uni Reaction - Backward, Definition)
- Limiting Reaction Rate (Uni Uni Reaction - Forward)
- Limiting Reaction Rate (Uni Uni Reaction - Forward, Definition)
- Limiting Reaction Rate Backward (Bi Bi Reaction Ordered - Single central Complex)
- Limiting Reaction Rate Backward (Bi Bi Reaction Ping Pong)
- Limiting Reaction Rate Backward (Bi Bi Reaction Theorell-Chance)
- Limiting Reaction Rate Forward (Bi Bi Reaction Ping Pong)
- Limiting Reaction Rate Forward (Bi Bi Reaction Theorell-Chance)
- Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward)
- Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward, Definition)
- Line Concept
- Line Concept Costs
- Line Costs Computation
- Line Planning
- Linear Discrete Element Method
- Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Irreversibility Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Rapid Equilibrium Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Irreversibility Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Rapid Equilibrium Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Irreversibility Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Rapid Equilibrium Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Dixon Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Dixon Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Eadie Hofstee Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Hanes Woolf Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Lineweaver Burk Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Dixon Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Dixon Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption)
- Linear Parameter Estimation of Enzyme Kinetics
- Linear Rotor
- Linear Rotor (Apolar)
- Linear Rotor (Combined)
- Linear Rotor (Non-Rigid)
- Linear Rotor (Polar)
- Linear Strain
- Linear Strain (Definition)
- Lineweaver (1934) The Determination of Enzyme Dissociation Constants
- Lineweaver Burk Equation (Uni Uni Reaction without Product - Steady State Assumption)
- Lineweaver Burk Equation (Uni Uni Reaction without Product - Irreversibility Assumption)
- Lineweaver Burk Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption)
- Lineweaver Burk Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption)
- Lineweaver Burk Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption)
- Lineweaver Burk Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption)
- Lineweaver Burk Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption)
- Link Recommendation Function
- Liouville-von Neumann Equation
- Logical Rule Extraction Formulation
- Lorentz Force Equation (Non-Relativistic)
- Lorentz Force Equation (Relativistic)
- Lorentz Force Model (Non-Relativistic)
- Lorentz Force Model (Relativistic)
- Loss Function
- Loss Function
- Loss Function (Definition)
- Loss Function Minimization
- Lumped Activation Parameter
- Lyapunov Equation
- Lyapunov Equation Controllability
- Lyapunov Equation Observability
- Lyapunov Generalized Controllability
- Lyapunov Generalized Observability
- Magnetic Field
- Mass
- Mass Action Law
- Mass Balance Law
- Material Density
- Material Point Acceleration
- Material Point Displacement
- Material Point Velocity
- Mathematical Analysis of DHW Equation
- Maximal Object Descriptiveness Rating
- Maximizing Poisson log-Likelihood
- Maximum Isometric Muscle Force
- Maximum Likelihood Estimation
- Maxwell Equations Model
- Mechanical Deformation
- Mechanical Deformation (Boundary Value)
- Mechanical Strain
- Mechanical Stress
- Medical Imaging
- Medium Follower Matrix
- Medium Influencer Fraction
- Medium Influencer Fraction Limit
- Membrane Capacitance
- Michaelis (1913) Die Kinetik der Invertinwirkung
- Michaelis Constant
- Michaelis Constant Product (Uni Uni Reaction - Steady State Assumption)
- Michaelis Constant Product (Uni Uni Reaction - Steady State Assumption, Definition)
- Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption)
- Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption)
- Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption, Definition)
- Michaelis Constant Product 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)
- Michaelis Constant Product 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)
- Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption)
- Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption)
- Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption, Definition)
- Michaelis Constant Product 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)
- Michaelis Constant Product 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)
- Michaelis Constant Substrate (Uni Uni Reaction - Irreversibility Assumption)
- Michaelis Constant Substrate (Uni Uni Reaction - Irreversibility Assumption, Definition)
- Michaelis Constant Substrate (Uni Uni Reaction - Rapid Equilibrium Assumption)
- Michaelis Constant Substrate (Uni Uni Reaction - Rapid Equilibrium Assumption, Definition)
- Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)
- Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption, Definition)
- Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption)
- Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption, Definition)
- Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption)
- Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption, Definition)
- Michaelis Constant Substrate 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)
- Michaelis Constant Substrate 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)
- Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption)
- Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption, Definition)
- Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption)
- Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption, Definition)
- Michaelis Constant Substrate 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)
- Michaelis Constant Substrate 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 and single central Complex - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 and single central Complex - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 and single central Complex - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Ordered without Products - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Ordered without Products and single central Complex - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 2 - Michaelis Menten Model - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Products 1 and 2 - Michaelis Menten Model - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Ping Pong without Products - Michaelis Menten Model - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Products 1 and 2 - Michaelis Menten Model - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance without Products - Michaelis Menten Model - Steady State Assumption)
- Michaelis Menten Equation (Uni Uni Reaction with Product - Steady State Assumption)
- Michaelis Menten Equation (Uni Uni Reaction without Product - Steady State Assumption)
- Michaelis Menten Equation (Uni Uni Reaction without Product - Irreversibility Assumption)
- Michaelis Menten Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption)
- Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption)
- Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Steady State Assumption)
- Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption)
- Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Steady State Assumption)
- Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption)
- Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Steady State Assumption)
- Michaelis Menten Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption)
- Michaelis Menten Equation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Steady State Assumption)
- Mixed Enzyme Inhibition Coupling Condition (Uni Uni Reaction)
- Mobility Of Electrons
- Mobility Of Holes
- Model Order Reduction
- Molecular Alignment
- Molecular Dynamics
- Molecular Orientation
- Molecular Physics
- Molecular Reaction Dynamics
- Molecular Rotation
- Molecular Spectroscopy
- Molecular Spectroscopy (Transient)
- Molecular Spectrosopy (Stationary)
- Molecular Vibration
- Molecularity
- Momentum
- Momentum Balance Equation
- Monodomain Equation for Action Potential Propagation
- MOR Transformation Matrix
- Mortality Modeling
- Motor Neuron Pool Model
- Motor Neuron Pool ODE System
- Multi-Population Discrete Susceptible Infectious Model
- Multi-Population Discrete Susceptible Infectious Removed Model
- Multi-Population Discrete Susceptible Infectious Susceptible Model
- Multipolar Expansion Model (3D)
- Muscle Contraction Velocity
- Muscle Length
- Muscle Movement
- Muscle Spindle Firing Rate
- Near Field Radiation
- Neumann Boundary Condition
- Neumann Boundary Condition (Stress-Free Relaxation)
- Neumann Boundary Condition For Electric Potential
- Neumann Boundary Condition For Electron Fermi Potential
- Neumann Boundary Condition For Hole Fermi Potential
- Neumann Boundary Condition For SEIR Model
- Neural Firing Rate
- Neural Input
- Nodes
- Noise Strength
- Non-Competitive Enzyme Inhibition Coupling Condition (Uni Uni Reaction)
- Non-Local Means
- Nonlinear Parameter Estimation (Uni Uni Reaction with Product - Michaelis Menten Model - Steady State Assumption)
- Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Irreversibility Assumption)
- Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Rapid Equilibrium Assumption)
- Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Steady State Assumption)
- Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption)
- Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption)
- Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Michaelis Menten Model - Steady State Assumption)
- Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Michaelis Menten Model - Steady State Assumption)
- Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption)
- Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption)
- Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption)
- Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption)
- Nonlinear Parameter Estimation of Enzyme Kinetics
- Nonrelativistic Approximation
- Normal Interaction Force Of Two Particles
- Normal Mode Coordinate
- Normal Mode Coordinate (Dimensionless)
- Normal Mode Coordinate (Dimensionless, Definition)
- Normal Mode Momentum
- Normal Mode Momentum (Dimensionless)
- Normal Mode Momentum (Dimensionless, Definition)
- Normal Modes
- Normal Modes (Anharmonic)
- Normal Modes (Harmonic)
- Normal Modes (Intermolecular)
- Normal Stress
- Number (Dimensionless)
- Number of Cities
- Number Of Exposed Individuals
- Number Of Exposed Individuals Formulation
- Number Of Individuals Tends To Infinity Assumption
- Number Of Infected Cities
- Number Of Infectious Individuals
- Number of Object Properties
- Number of Objects
- Number Of Occurrences
- Number of Particles
- Number of Regions
- Number Of Removed Individuals
- Number Of Susceptible Cities
- Number Of Susceptible Individuals
- Number Of Susceptible Individuals Formulation
- Number of Time Points
- Object
- Object Cluster Formulation
- Object Cluster Matrix
- Object Committor Function Formulation
- Object Committor Functions
- Object Commonality Formulation
- Object Commonality Matrix
- Object Comparison Formulation
- Object Comparison Model
- Object Property
- Object Rating Formulation
- Object Rating Matrix
- Object Rating Matrix Decomposition (Schur)
- Ohm Equation
- Oosterhout (2024) Finite-strain poro-visco-elasticity with degenerate mobility
- Opinion
- Opinion Dynamics
- Opinion Model With Influencers And Media
- Opinion Vector of Individuals
- Opinion Vector of Influencers
- Opinion Vector of Media
- Optimal Control
- Optimal Control Backward
- Optimal Control Constraint
- Optimal Control Cost
- Optimal Control Cost (Definition)
- Optimal Control Final
- Optimal Control Forward
- Optimal Control Initial
- Optimal Control Penalty Factor
- Optimal Control Target
- Optimal Control Target (Definition)
- Optimal Control Update
- Optimization in Public Transportation
- Origin Destination Data
- Orthogonal Matrix
- Overall Distribution Of Individuals
- Overall Distribution Of Individuals Formulation
- Pair Function
- Pair Function Assumption
- Parameter Estimation of Enzyme Kinetics
- Parameter To Scale Attractive Force From Influencers
- Parameter To Scale Attractive Force From Media
- Parameter To Scale Attractive Force From Other Individuals
- Partial Mean Field Opinion Model
- Particle Flux Density
- Particle Number Density
- Particles In Electromagnetic Fields
- Passive Muscle Force
- Passive Muscle Force (Definition)
- Passive Muscle Strain
- Passive Tendon Force
- Passive Tendon Force (Definition)
- PDE SEIR Model
- Period Length
- Periodic Boundary Condition For Electric Potential
- Periodic Boundary Conditions
- Permeability (Vacuum)
- Permittivity (Dielectric)
- Permittivity (Relative)
- Permittivity (Relative, Definition)
- Permittivity (Vacuum)
- Physical Chemistry
- Pi Number
- Planck Constant
- Poisson Distribution
- Poisson Distribution (Definition)
- Poisson Equation For The Electric Potential
- Poisson Equation For The Electric Potential (Finite Volume)
- Poisson log-Likelihood
- Poisson-Distributed Deaths
- Polar Angle
- Pomology
- Population Density
- Poro-Visco-Elastic (Dirichlet Boundary)
- Poro-Visco-Elastic (Neumann Boundary)
- Poro-Visco-Elastic Diffusion Boundary Condition
- Poro-Visco-Elastic Diffusion Equation
- Poro-Visco-Elastic Evolution
- Poro-Visco-Elastic Model
- Poro-Visco-Elastic Quasistatic Equation
- Power Set
- Pressure
- Probability Distribution
- Product 1 Concentration
- Product 1 Concentration ODE (Bi Bi Reaction Ordered with single central Complex)
- Product 1 Concentration ODE (Bi Bi Reaction Ordered)
- Product 1 Concentration ODE (Bi Bi Reaction Ping Pong)
- Product 1 Concentration ODE (Bi Bi Reaction Theorell-Chance)
- Product 2 Concentration
- Product 2 Concentration ODE (Bi Bi Reaction Ordered with single central Complex)
- Product 2 Concentration ODE (Bi Bi Reaction Ordered)
- Product 2 Concentration ODE (Bi Bi Reaction Ping Pong)
- Product 2 Concentration ODE (Bi Bi Reaction Theorell-Chance)
- Product Concentration
- Product Concentration ODE (Uni Uni Reaction)
- Proton Electron Mass Ratio
- Proton Mass
- PTN Line
- Public Transportation Network
- Quantile Function Of The Beta Distribution
- Quantum Angular Momentum Operator
- Quantum Classical Model
- Quantum Conditional Quasi-Solvability
- Quantum Damping Rate
- Quantum Density Operator
- Quantum Eigen Energy
- Quantum Eigen Energy (Anharmonic)
- Quantum Eigen Energy (Harmonic)
- Quantum Eigen Energy (Intermolecular)
- Quantum Hamiltonian (Electric Charge)
- Quantum Hamiltonian (Electric Dipole)
- Quantum Hamiltonian (Electric Polarizability)
- Quantum Hamiltonian (Linear Rotor)
- Quantum Hamiltonian (Non-Rigid Rotor)
- Quantum Hamiltonian (Normal Mode)
- Quantum Hamiltonian (Normal Mode, Anharmonic)
- Quantum Hamiltonian (Normal Mode, Harmonic)
- Quantum Hamiltonian (Normal Mode, Intermolecular)
- Quantum Hamiltonian (Symmetric Top)
- Quantum Hamiltonian Operator
- Quantum Jump Operator
- Quantum Jump Operator (Definition)
- Quantum Kinetic Operator
- Quantum Lindblad Equation
- Quantum Mechanical Operator
- Quantum Model (Closed System)
- Quantum Model (Open System)
- Quantum Momentum Operator
- Quantum Momentum Operator (Definition)
- Quantum Number
- Quantum Potential Operator
- Quantum State Vector
- Quantum State Vector (Dynamic)
- Quantum State Vector (Stationary)
- Quantum Stationary States
- Quantum Time Evolution
- Radius
- Rapid Equilibrium Assumption
- Rate
- Rate Of Aging
- Rate Of Becoming Infectious
- Rate Of Change Of Population Density Fraction Of Exposed PDE
- Rate Of Change Of Population Density Fraction Of Infectious PDE
- Rate Of Change Of Population Density Fraction Of Removed PDE
- Rate Of Change Of Population Density Fraction Of Susceptibles PDE
- Rate Of Change Of Susceptible Cities
- Rate Of Switching Influencers
- Rate Of Switching Influencers Formulation
- Reaction Rate
- Reaction Rate Constant
- Reaction Rate of Enzyme
- Reaction Rate of Enzyme - Product 1 - Product 2 Complex
- Reaction Rate of Enzyme - Product 1 Complex
- Reaction Rate of Enzyme - Product 2 Complex
- Reaction Rate of Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 Complex
- Reaction Rate of Enzyme - Substrate 1 - Substrate 2 Complex
- Reaction Rate of Enzyme - Substrate 1 Complex
- Reaction Rate of Intermediate
- Reaction Rate of Intermediate - Substrate 2 Complex
- Reaction Rate of Product 1
- Reaction Rate of Product 2
- Reaction Rate of Substrate 1
- Reaction Rate of Substrate 2
- Real Number (Dimensionless)
- Reciprocal Lattice
- Reciprocal Lattice Vectors
- Recombination Of Electron Hole Pairs
- Recurrent Neural Network
- Recurrent Neural Network Surrogate for Discrete Element Method
- Region
- Region Connectivity
- Relative Removal Rate
- Relativistic Momentum
- Relativistic Momentum (Definition)
- Removed
- Removed At Time Step n+1 in the Discrete SIR Model
- Removed At Time Step n+1 in the Discrete SIR Model with Births and Deaths
- Removed At Time Step n+1 in The Multi-Population Discrete SIR Model
- Risk Of Death
- Roman Archaeology
- Romanization Parameter Estimation
- Romanization Spreading in Northern Tunesia
- Romanization Time Evolution
- Romanized Cities Vector
- Rotational Constant
- Runge–Kutta Method
- Scaling Parameter For Switching Influencers
- Scharfetter-Gummel Scheme
- Schrödinger Equation (Chebychev Polynomial)
- Schrödinger Equation (Differencing Scheme)
- Schrödinger Equation (Lie-Trotter)
- Schrödinger Equation (Second Order Differencing)
- Schrödinger Equation (Split Operator)
- Schrödinger Equation (Strang-Marchuk)
- Schrödinger Equation (Time Dependent)
- Schrödinger Equation (Time Independent)
- Schrödinger-Newton Equation
- Second Condition For Positive Solutions In The Multi Population SIS Model
- Second Condition For Positive Solutions In The SIR Model with Births and Deaths
- Second Condition For Positive Solutions In The SIS Model
- Second Condition For Positive Solutions In The SIS Model with Births and Deaths
- Second Eigenvalue of Orthogonal Matrix
- SEIR Derivative Relation
- Semiconductor Charge Neutrality
- Semiconductor Current Voltage
- Semiconductor Physics
- Semiconductor Thermal Equilibrium
- Sensitivity Analysis of Complex Kinetic Systems
- Sensory Organ
- Sensory Organ Current
- Sensory Organ Model
- Simulation of Complex Kinetic Systems
- Simulation of TEM Images
- Slyke (1914) The mode of action of urease and of enzymes in general
- Solar System Equations Of Motion
- Solar System Mechanics
- Solar System Model
- Sort Ancient Egyptian Objects
- Sorting Objects
- Spatial Variable
- Species Transport
- Speed Of Light
- Speed Of Light (Definition)
- Spherical Harmonics Expansion (3D)
- Spin Qbit Shuttling
- Spreading Curve (Approximate)
- Spreading Curve (Approximate, Formulation)
- Spreading of Infectious Diseases
- Spreading Rate (Time-dependent)
- Spreading Rate (Time-dependent) Constraint
- Spring Constant
- Stability Autonomous System
- Statistics
- Steady State Assumption
- Stokes Darcy Coupling Conditions
- Stokes Darcy Equation (Discretized, pv)
- Stokes Darcy Equation (Discretized, td)
- Stokes Darcy Model
- Stokes Darcy Model (Discretized)
- Stokes Equation
- Stokes Equation (Euler Backward)
- Stokes Equation (Finite Volume)
- Stokes Model
- Stokes Model (Discretized)
- Stress Free Muscle Length
- Stress Free Tendon Length
- Stress Of Crystal
- Stress Tensor (Cauchy)
- Stress Tensor (Piola-Kirchhoff)
- Suan (2010) Kinetic and reactor modelling of lipases catalyzed (R,S)-1-phenylethanol resolution
- Subcellular DAE System
- Subcellular Model
- Substrate 1 Concentration
- Substrate 1 Concentration ODE (Bi Bi Reaction Ordered with single central Complex)
- Substrate 1 Concentration ODE (Bi Bi Reaction Ordered)
- Substrate 1 Concentration ODE (Bi Bi Reaction Ping Pong)
- Substrate 1 Concentration ODE (Bi Bi Reaction Theorell-Chance)
- Substrate 2 Concentration
- Substrate 2 Concentration ODE (Bi Bi Reaction Ordered with single central Complex)
- Substrate 2 Concentration ODE (Bi Bi Reaction Ordered)
- Substrate 2 Concentration ODE (Bi Bi Reaction Ping Pong)
- Substrate 2 Concentration ODE (Bi Bi Reaction Theorell-Chance)
- Substrate Concentration
- Substrate Concentration ODE (Uni Uni Reaction)
- Surface Force Density
- Susceptible Cities ODE
- Susceptible Infectious Epidemic Spreading Model
- Susceptible Infectious Epidemic Spreading ODE System
- Susceptible Infectious Removed Model with Births and Deaths
- Susceptible Infectious Susceptible Model with Births and Deaths
- Susceptibles
- Susceptibles At Time Step n +1 in the Discrete Multi Population SI Model
- Susceptibles At Time Step n +1 in the Discrete Multi Population SIR Model
- Susceptibles At Time Step n +1 in the Discrete Multi Population SIS Model
- Susceptibles At Time Step n+1 in The Discrete SI Model
- Susceptibles At Time Step n+1 in The Discrete SIR Model
- Susceptibles At Time Step n+1 in the Discrete SIR Model with births and deaths
- Susceptibles At Time Step n+1 in The Discrete SIS Model
- Susceptibles At Time Step n+1 in The Discrete SIS Model with births and deaths
- Sylvester (1884) Sur léquations en matrices px = xq
- Sylvester Equation
- Sylvester Equation Controllability
- Sylvester Equation Observability
- Sylvester Generalized Controllability
- Sylvester Generalized Observability
- Symmetric Top (Combined)
- Symmetry Analysis In TEM Images
- Symptomatic Infection Rate
- Tangential Interaction Force Of Two Particles
- Temperature
- Tendon Length
- Tendon Strain
- Tendon Strain (Definition)
- Thermal Conductivity
- Time
- Time Independence Of Hamiltonian
- Time Point
- Time Step
- Torque
- Torque Of Particle
- Total Number Of Individuals
- Total Population Density
- Total Population Density Formulation
- Total Population Size
- Traffic Load
- Transmembrane Potential
- Transmission Electron Microscopy
- Transport Equation
- Transport Model
- Transport of Matter
- Transport Route
- Transportation Planning
- Turn Over Time
- Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)
- Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition, Definition)
- Uni Uni Reaction
- Uni Uni Reaction (Eadie Hofstee Model without Product - Irreversibility Assumption)
- Uni Uni Reaction (Eadie Hofstee Model without Product - Rapid Equilibrium Assumption)
- Uni Uni Reaction (Eadie Hofstee Model without Product - Steady State Assumption)
- Uni Uni Reaction (Hanes Woolf Model without Product - Irreversibility Assumption)
- Uni Uni Reaction (Hanes Woolf Model without Product - Rapid Equilibrium Assumption)
- Uni Uni Reaction (Hanes Woolf Model without Product - Steady State Assumption)
- Uni Uni Reaction (Lineweaver Burk Model without Product - Irreversibility Assumption)
- Uni Uni Reaction (Lineweaver Burk Model without Product - Rapid Equilibrium Assumption)
- Uni Uni Reaction (Lineweaver Burk Model without Product - Steady State Assumption)
- Uni Uni Reaction (Michaelis Menten Model with Product - Steady State Assumption)
- Uni Uni Reaction (Michaelis Menten Model without Product - Irreversibility Assumption)
- Uni Uni Reaction (Michaelis Menten Model without Product - Rapid Equilibrium Assumption)
- Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption)
- Uni Uni Reaction (ODE Model)
- Uni Uni Reaction Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption)
- Uni Uni Reaction Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption)
- Uni Uni Reaction Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption)
- Uni Uni Reaction Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption)
- Uni Uni Reaction Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption)
- Uni Uni Reaction Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption)
- Uni Uni Reaction Mixed Complete Inhibition (Dixon Model without Product - Steady State Assumption)
- Uni Uni Reaction Mixed Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption)
- Uni Uni Reaction Mixed Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption)
- Uni Uni Reaction Mixed Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption)
- Uni Uni Reaction Mixed Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption)
- Uni Uni Reaction Mixed Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption)
- Uni Uni Reaction Non-Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption)
- Uni Uni Reaction Non-Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption)
- Uni Uni Reaction Non-Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption)
- Uni Uni Reaction Non-Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption)
- Uni Uni Reaction Non-Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption)
- Uni Uni Reaction Non-Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption)
- Uni Uni Reaction ODE System
- Uni Uni Reaction Uncompetitive Complete Inhibition (Dixon Model without Product - Steady State Assumption)
- Uni Uni Reaction Uncompetitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption)
- Uni Uni Reaction Uncompetitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption)
- Uni Uni Reaction Uncompetitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption)
- Uni Uni Reaction Uncompetitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption)
- Uni Uni Reaction Uncompetitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption)
- Uni Uni Reaction with Competitive Complete Inhibition
- Uni Uni Reaction with Competitive Partial Inhibition
- Uni Uni Reaction with Mixed Complete Inhibition
- Uni Uni Reaction with Mixed Partial Inhibition
- Uni Uni Reaction with Non-Competitive Complete Inhibition
- Uni Uni Reaction with Non-Competitive Partial Inhibition
- Uni Uni Reaction with Reversible Complete Inhibition
- Uni Uni Reaction with Reversible Partial Inhibition
- Uni Uni Reaction with Uncompetitive Complete Inhibition
- Uni Uni Reaction with Uncompetitive Partial Inhibition
- Uniform Gravitational Acceleration
- Unit Normal Vector
- Unit Tangent Vector
- Unknown Matrix
- Upper-Triangular Matrix
- Vanishing Air Density
- Vanishing Drag Coefficient
- Variance
- Velocity
- Vibration Frequency (Anharmonic)
- Vibration Frequency (Harmonic)
- Vibrational Frequency Shift (1st Order)
- Vibrational Frequency Shift (2nd Order)
- Viscosity
- Viscous Dissipation Potential
- Voltage
- Wave Vector of an Electron
- Weber (2022) The Mathematics of Comparing Objects
- Weight Factor
- Weight Factor (Definition)
- White Noise
- Wiener Process
- Young Modulus
- Young Modulus (Definition)
IRI: https://mardi4nfdi.de/mathmoddb#AlleeThreshold
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belongs to
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Quantity c
Anharmonicity Constant (Definition)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#AnharmonicityConstantDefinition
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belongs to
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Mathematical Formulation c
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has facts
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contains quantity op Anharmonicity Constant ni
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contains quantity op Coriolis Coupling Constant ni
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contains quantity op Force Constant (Anharmonic) ni
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contains quantity op Number of Particles ni
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contains quantity op Rotational Constant ni
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contains quantity op Vibration Frequency (Harmonic) ni
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defining formulation dp "$ \begin{align} \chi_{rr} &=& \frac{1}{16} \phi_{rrrr} - \frac{1}{16} \sum_{s=1}^{3N-6} \phi_{rrs}^2 \frac {8\omega_r^2-3\omega_s^2} {\omega_s(4\omega_r^2-\omega_s^2)} \\ \chi_{rs} &=&\frac{1}{4} \phi_{rrss} - \frac{1}{4} \sum_{t=1}^{3N-6} \frac{\phi_{rrt}\phi_{tss}}{\omega_t} - \frac{1}{2} \sum_{t=1}^{3N-6} \frac {\phi_{rst}^2 \omega_t (\omega_t^2-\omega_r^2-\omega_s^2)} {\Delta_{rst}} \\ &+& \left[ A(\zeta_{r,s}^{(a)})^2 + B(\zeta_{r,s}^{(b)})^2 + C(\zeta_{r,s}^{(c)})^2 \right] \left[ \frac{\omega_r}{\omega_s} + \frac{\omega_s}{\omega_r} \right] \\ \Delta_{rst} &=& ( \omega_r + \omega_s + \omega_t ) ( \omega_r - \omega_s - \omega_t ) (-\omega_r + \omega_s - \omega_t ) (-\omega_r - \omega_s + \omega_t ) \end{align}$"^^La Te X ep
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in defining formulation dp "$A,B,C$, Rotational Constant"^^La Te X ep
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in defining formulation dp "$N$, Number of Particles"^^La Te X ep
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in defining formulation dp "$\chi$, Anharmonicity Constant"^^La Te X ep
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in defining formulation dp "$\omega$, Vibrational Frequency (Harmonic)"^^La Te X ep
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in defining formulation dp "$\phi$, Force Constant (Anharmonic)"^^La Te X ep
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in defining formulation dp "$\zeta$, Coriolis Coupling Constant"^^La Te X ep
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description ap "Derived by using second order (non-degenerate) perturbation theory, considering the comparable magnitude of contributions of cubic anharmonicity in second order and quartic anharmonicity in first order."@en
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wikidata I D ap Q545228 ep
IRI: https://mardi4nfdi.de/mathmoddb#AttractionForceAtOpinion
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belongs to
-
Quantity c
Average Opinion Of Followers Of Influencersni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#AverageOpinionOfInfluencerFollowers
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belongs to
-
Quantity c
Average Opinion Of Followers Of Influencers In The Partial Mean Field Modelni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#AverageOpinionOfFollowersOfInfluencersInThePartialFieldModel
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belongs to
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Quantity c
IRI: https://mardi4nfdi.de/mathmoddb#BeaversJosephCoefficient
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belongs to
-
Quantity c
Bi Bi Reaction Ordered Mechanism ODE Systemni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionOrderedMechansimODESystem
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belongs to
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Mathematical Formulation c
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has facts
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contains formulation op Enzyme - Product 1 - Product 2 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni
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contains formulation op Enzyme - Product 1 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni
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contains formulation op Enzyme - Substrate 1 - Substrate 2 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni
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contains formulation op Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni
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contains formulation op Enzyme Concentration ODE (Bi Bi Reaction Ordered) ni
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contains formulation op Product 1 Concentration ODE (Bi Bi Reaction Ordered) ni
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contains formulation op Product 2 Concentration ODE (Bi Bi Reaction Ordered) ni
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contains formulation op Substrate 1 Concentration ODE (Bi Bi Reaction Ordered) ni
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contains formulation op Substrate 2 Concentration ODE (Bi Bi Reaction Ordered) ni
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contains quantity op Enzyme Concentration ni
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contains quantity op Enzyme - Product 1 Complex Concentration ni
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contains quantity op Enzyme - Product 1 - Product 2 Complex Concentration ni
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contains quantity op Enzyme - Substrate 1 Complex Concentration ni
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contains quantity op Enzyme - Substrate 1 - Substrate 2 Complex Concentration ni
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contains quantity op Product 1 Concentration ni
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contains quantity op Product 2 Concentration ni
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contains quantity op Reaction Rate Constant ni
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contains quantity op Reaction Rate of Enzyme ni
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contains quantity op Reaction Rate of Enzyme - Product 1 Complex ni
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contains quantity op Reaction Rate of Enzyme - Product 1 - Product 2 Complex ni
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contains quantity op Reaction Rate of Enzyme - Substrate 1 Complex ni
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contains quantity op Reaction Rate of Enzyme - Substrate 1 - Substrate 2 Complex ni
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contains quantity op Reaction Rate of Product 1 ni
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contains quantity op Reaction Rate of Product 2 ni
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contains quantity op Reaction Rate of Substrate 1 ni
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contains quantity op Reaction Rate of Substrate 2 ni
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contains quantity op Substrate 1 Concentration ni
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contains quantity op Substrate 2 Concentration ni
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contains quantity op Time ni
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defining formulation dp "$\begin{align} \frac{dc_{S_1}}{dt} &= k_{-1} c_{ES_1} - k_{1} c_{E} c_{S_1} \\ \frac{dc_{S_2}}{dt} &= k_{-2} c_{ES_{1}S_{2}} - k_{2} c_{ES_1} c_{S_2} \\ \frac{dc_{ES_1}}{dt} &= k_{1} c_{E} c_{S_1} + k_{-2} c_{ES_{1}S_{2}} - k_{-1} c_{ES_1} - k_2 c_{ES_1} c_{S_2} \\ \frac{dc_{ES_{1}S_{2}}}{dt} &= k_{2} c_{ES_1} c_{S_2} + k_{-3} c_{EP_{1}P_{2}} - k_{-2} c_{ES_{1}S_{2}} - k_{3} c_{ES_{1}S_{2}} \\ \frac{dc_{EP_{1}P_{2}}}{dt} &= k_{3} c_{ES_{1}S_{2}} + k_{-4} c_{EP_1} c_{P_2} - k_{-3} c_{EP_{1}P_{2}} - k_{4} c_{EP_{1}P_{2}} \\ \frac{dc_{EP_1}}{dt} &= k_{4} c_{EP_{1}P_{2}} + k_{-5} c_{E} c_{P_1} - k_{-4} c_{EP_1} c_{P_2} - k_{5} c_{EP_1} \\ \frac{dc_{P_1}}{dt} &= k_{5} c_{EP_1} - k_{-5} c_{E} c_{P_1} \\ \frac{dc_{P_2}}{dt} &= k_{4} c_{EP_{1}P_{2}} - k_{-4} c_{EP_1} c_{P_2} \\ \frac{dc_{E}}{dt} &= k_{-1} c_{ES_1} + k_5 c_{EP_1} - k_{1} c_{E} c_{S_1} - k_{-5} c_{E} c_{P_1} \\ \end{align}$"^^La Te X ep
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in defining formulation dp "$\frac{dc_{EP_1P_2}}{dt}$, Reaction Rate of Enzyme - Product 1 - Product 2 Complex"^^La Te X ep
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in defining formulation dp "$\frac{dc_{EP_1}}{dt}$, Reaction Rate of Enzyme - Product 1 Complex"^^La Te X ep
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in defining formulation dp "$\frac{dc_{ES_1S_2}}{dt}$, Reaction Rate of Enzyme - Substrate 1 - Substrate 2 Complex"^^La Te X ep
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in defining formulation dp "$\frac{dc_{ES_1}}{dt}$, Reaction Rate of Enzyme - Substrate 1 Complex"^^La Te X ep
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in defining formulation dp "$\frac{dc_{E}}{dt}$, Reaction Rate of Enzyme"^^La Te X ep
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in defining formulation dp "$\frac{dc_{P_1}}{dt}$, Reaction Rate of Product 1"^^La Te X ep
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in defining formulation dp "$\frac{dc_{P_2}}{dt}$, Reaction Rate of Product 2"^^La Te X ep
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in defining formulation dp "$\frac{dc_{S_1}}{dt}$, Reaction Rate of Substrate 1"^^La Te X ep
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in defining formulation dp "$\frac{dc_{S_2}}{dt}$, Reaction Rate of Substrate 2"^^La Te X ep
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in defining formulation dp "$c_{EP_1P_2}$, Enzyme - Product 1 - Product 2 Complex Concentration"^^La Te X ep
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in defining formulation dp "$c_{EP_1}$, Enzyme - Product 1 Complex Concentration"^^La Te X ep
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in defining formulation dp "$c_{ES_1S_2}$, Enzyme - Substrate 1 - Substrate 2 Complex Concentration"^^La Te X ep
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in defining formulation dp "$c_{ES_1}$, Enzyme - Substrate 1 Complex Concentration"^^La Te X ep
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in defining formulation dp "$c_{E}$, Enzyme Concentration"^^La Te X ep
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in defining formulation dp "$c_{P_1}$, Product 1 Concentration"^^La Te X ep
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in defining formulation dp "$c_{P_2}$, Product 2 Concentration"^^La Te X ep
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in defining formulation dp "$c_{S_1}$, Substrate 1 Concentration"^^La Te X ep
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in defining formulation dp "$c_{S_2}$, Substrate 2 Concentration"^^La Te X ep
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in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{-5}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$t$, Time"^^La Te X ep
Bi Bi Reaction Ordered Mechanism with single central Complex ODE Systemni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionOrderedMechansimODESystemsingleCC
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belongs to
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Mathematical Formulation c
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has facts
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contains formulation op Enzyme - Product 1 - Complex Concentration ODE (Bi Bi Reaction Ordered with single central Complex) ni
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contains formulation op Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 - Complex Concentration ODE (Bi Bi Reaction Ordered with single central Complex) ni
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contains formulation op Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ordered with single central Complex) ni
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contains formulation op Enzyme Concentration ODE (Bi Bi Reaction Ordered with single central Complex) ni
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contains formulation op Product 1 Concentration ODE (Bi Bi Reaction Ordered with single central Complex) ni
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contains formulation op Product 2 Concentration ODE (Bi Bi Reaction Ordered with single central Complex) ni
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contains formulation op Substrate 1 Concentration ODE (Bi Bi Reaction Ordered with single central Complex) ni
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contains formulation op Substrate 2 Concentration ODE (Bi Bi Reaction Ordered with single central Complex) ni
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contains quantity op Enzyme Concentration ni
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contains quantity op Enzyme - Product 1 Complex Concentration ni
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contains quantity op Enzyme - Substrate 1 Complex Concentration ni
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contains quantity op Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 Complex Concentration ni
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contains quantity op Product 1 Concentration ni
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contains quantity op Product 2 Concentration ni
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contains quantity op Reaction Rate Constant ni
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contains quantity op Reaction Rate of Enzyme ni
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contains quantity op Reaction Rate of Enzyme - Substrate 1 Complex ni
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contains quantity op Reaction Rate of Product 1 ni
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contains quantity op Reaction Rate of Product 2 ni
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contains quantity op Reaction Rate of Substrate 1 ni
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contains quantity op Reaction Rate of Substrate 2 ni
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contains quantity op Reaction Rate of Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 Complex ni
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contains quantity op Substrate 1 Concentration ni
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contains quantity op Substrate 2 Concentration ni
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contains quantity op Time ni
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defining formulation dp "$\begin{align} \frac{dc_{S_1}}{dt} &= k_{-1} c_{ES_1} - k_{1} c_{E} c_{S_1} \\ \frac{dc_{S_2}}{dt} &= k_{-2} c_{ES_{1}S_{2}=EP_{1}P_{2}} - k_{2} c_{ES_1} c_{S_2} \\ \frac{dc_{ES_1}}{dt} &= k_{1} c_{E} c_{S_1} + k_{-2} c_{ES_{1}S_{2}=EP_{1}P_{2}} - k_{-1} c_{ES_1} - k_2 c_{ES_1} c_{S_2} \\ \frac{dc_{ES_{1}S_{2}=EP_{1}P_{2}}}{dt} &= k_{2} c_{ES_1} c_{S_2} - k_{-2} c_{ES_{1}S_{2}=EP_{1}P_{2}} + k_{-4} c_{EP_1} c_{P_2} - k_{4} c_{ES_{1}S_{2}=EP_{1}P_{2}} \\ \frac{dc_{EP_1}}{dt} &= k_{4} c_{ES_{1}S_{2}=EP_{1}P_{2}} + k_{-5} c_{E} c_{P_1} - k_{-4} c_{EP_1} c_{P_2} - k_{5} c_{EP_1} \\ \frac{dc_{P_1}}{dt} &= k_{5} c_{EP_1} - k_{-5} c_{E} c_{P_1} \\ \frac{dc_{P_2}}{dt} &= k_{4} c_{ES_{1}S_{2}=EP_{1}P_{2}} - k_{-4} c_{EP_1} c_{P_2} \\ \frac{dc_{E}}{dt} &= k_{-1} c_{ES_1} + k_5 c_{EP_1} - k_{1} c_{E} c_{S_1} - k_{-5} c_{E} c_{P_1} \\ \end{align}$"^^La Te X ep
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in defining formulation dp "$\frac{dc_{EP_1}}{dt}$, Reaction Rate of Enzyme - Product 1 Complex"^^La Te X ep
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in defining formulation dp "$\frac{dc_{ES_1}}{dt}$, Reaction Rate of Enzyme - Substrate 1 Complex"^^La Te X ep
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in defining formulation dp "$\frac{dc_{ES_{1}S_{2}=EP_{1}P_{2}}}{dt}$, Reaction Rate of Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 Complex"^^La Te X ep
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in defining formulation dp "$\frac{dc_{E}}{dt}$, Reaction Rate of Enzyme"^^La Te X ep
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in defining formulation dp "$\frac{dc_{P_1}}{dt}$, Reaction Rate of Product 1"^^La Te X ep
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in defining formulation dp "$\frac{dc_{P_2}}{dt}$, Reaction Rate of Product 2"^^La Te X ep
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in defining formulation dp "$\frac{dc_{S_1}}{dt}$, Reaction Rate of Substrate 1"^^La Te X ep
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in defining formulation dp "$\frac{dc_{S_2}}{dt}$, Reaction Rate of Substrate 2"^^La Te X ep
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in defining formulation dp "$c_{EP_1}$, Enzyme - Product 1 Complex Concentration"^^La Te X ep
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in defining formulation dp "$c_{ES_1}$, Enzyme - Substrate 1 Complex Concentration"^^La Te X ep
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in defining formulation dp "$c_{ES_{1}S_{2}=EP_{1}P_{2}}$, Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 Complex Concentration"^^La Te X ep
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in defining formulation dp "$c_{E}$, Enzyme Concentration"^^La Te X ep
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in defining formulation dp "$c_{P_1}$, Product 1 Concentration"^^La Te X ep
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in defining formulation dp "$c_{P_2}$, Product 2 Concentration"^^La Te X ep
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in defining formulation dp "$c_{S_1}$, Substrate 1 Concentration"^^La Te X ep
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in defining formulation dp "$c_{S_2}$, Substrate 2 Concentration"^^La Te X ep
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in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{-5}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$t$, Time"^^La Te X ep
Bi Bi Reaction Ping Pong Mechanism ODE Systemni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionPingPongMechansimODESystem
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belongs to
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Mathematical Formulation c
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has facts
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contains formulation op Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ping Pong) ni
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contains formulation op Enzyme Concentration ODE (Bi Bi Reaction Ping Pong) ni
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contains formulation op Intermediate Concentration ODE (Bi Bi Reaction Ping Pong) ni
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contains formulation op Intermediate - Substrate 2 - Complex Concentration ODE (Bi Bi Reaction Ping Pong) ni
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contains formulation op Product 1 Concentration ODE (Bi Bi Reaction Ping Pong) ni
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contains formulation op Product 2 Concentration ODE (Bi Bi Reaction Ping Pong) ni
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contains formulation op Substrate 1 Concentration ODE (Bi Bi Reaction Ping Pong) ni
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contains formulation op Substrate 2 Concentration ODE (Bi Bi Reaction Ping Pong) ni
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contains quantity op Enzyme Concentration ni
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contains quantity op Enzyme - Substrate 1 Complex Concentration ni
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contains quantity op Intermediate Concentration ni
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contains quantity op Intermediate - Substrate 2 Complex Concentration ni
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contains quantity op Product 1 Concentration ni
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contains quantity op Product 2 Concentration ni
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contains quantity op Reaction Rate Constant ni
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contains quantity op Reaction Rate of Enzyme ni
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contains quantity op Reaction Rate of Enzyme - Substrate 1 Complex ni
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contains quantity op Reaction Rate of Intermediate ni
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contains quantity op Reaction Rate of Intermediate - Substrate 2 Complex ni
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contains quantity op Reaction Rate of Product 1 ni
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contains quantity op Reaction Rate of Product 2 ni
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contains quantity op Reaction Rate of Substrate 1 ni
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contains quantity op Reaction Rate of Substrate 2 ni
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contains quantity op Substrate 1 Concentration ni
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contains quantity op Substrate 2 Concentration ni
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contains quantity op Time ni
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defining formulation dp "$\begin{align} \frac{dc_{S_1}}{dt} &= k_{-1} c_{ES_1} - k_{1} c_{E} c_{S_1} \\ \frac{dc_{S_2}}{dt} &= k_{-3} c_{E*S_2} - k_{3} c_{E*} c_{S_2} \\ \frac{dc_{E}}{dt} &= k_{-1} c_{ES_1} + k_{4} c_{E*S_2} - k_{1} c_{E} c_{S_1} - k_{-4} c_{E} c_{P_2} \\ \frac{dc_{ES_1}}{dt} &= k_{1} c_{E} c_{S_1} + k_{-2} c_{E*} c_{P_1} - k_{-1} c_{ES_1} - k_{2} c_{ES_1} \\ \frac{dc_{E*}}{dt} &= k_{2} c_{ES_1} + k_{-3} c_{E*S_2} - k_{-2} c_{E*} c_{P_1} - k_{3} c_{E*} c_{S_2} \\ \frac{dc_{E*S_2}}{dt} &= k_{3} c_{E*} c_{S_2} + k_{-4} c_{E} c_{P_2} - k_{-3} c_{E*S_2} - k_{4} c_{E*S_2} \\ \frac{dc_{P_1}}{dt} &= k_{2} c_{ES_1} - k_{-2} c_{E*} c_{P_1} \\ \frac{dc_{P_2}}{dt} &= k_{4} c_{E*S_2} - k_{-4} c_{P_2} c_{E} \\ \end{align}$"^^La Te X ep
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in defining formulation dp "$\frac{dc_{E*S_2}}{dt}$, Reaction Rate of Intermediate - Substrate 2 Complex"^^La Te X ep
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in defining formulation dp "$\frac{dc_{E*}}{dt}$, Reaction Rate of Intermediate"^^La Te X ep
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in defining formulation dp "$\frac{dc_{ES_1}}{dt}$, Reaction Rate of Enzyme - Substrate 1 Complex"^^La Te X ep
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in defining formulation dp "$\frac{dc_{E}}{dt}$, Reaction Rate of Enzyme"^^La Te X ep
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in defining formulation dp "$\frac{dc_{P_1}}{dt}$, Reaction Rate of Product 1"^^La Te X ep
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in defining formulation dp "$\frac{dc_{P_2}}{dt}$, Reaction Rate of Product 2"^^La Te X ep
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in defining formulation dp "$\frac{dc_{S_1}}{dt}$, Reaction Rate of Substrate 1"^^La Te X ep
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in defining formulation dp "$\frac{dc_{S_2}}{dt}$, Reaction Rate of Substrate 2"^^La Te X ep
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in defining formulation dp "$c_{E*S_2}$, Intermediate - Substrate 2 Complex Concentration"^^La Te X ep
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in defining formulation dp "$c_{E*}$, Intermediate Concentration"^^La Te X ep
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in defining formulation dp "$c_{ES_1}$, Enzyme - Substrate 1 Complex Concentration"^^La Te X ep
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in defining formulation dp "$c_{E}$, Enzyme Concentration"^^La Te X ep
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in defining formulation dp "$c_{P_1}$, Product 1 Concentration"^^La Te X ep
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in defining formulation dp "$c_{P_2}$, Product 2 Concentration"^^La Te X ep
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in defining formulation dp "$c_{S_1}$, Substrate 1 Concentration"^^La Te X ep
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in defining formulation dp "$c_{S_2}$, Substrate 2 Concentration"^^La Te X ep
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in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$t$, Time"^^La Te X ep
Bi Bi Reaction Theorell-Chance Mechanism ODE Systemni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionTheorellChanceMechansimODESystem
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belongs to
-
Mathematical Formulation c
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has facts
-
contains formulation op Enzyme - Product 2 - Complex Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
-
contains formulation op Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
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contains formulation op Enzyme Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
-
contains formulation op Product 1 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
-
contains formulation op Product 2 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
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contains formulation op Substrate 1 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
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contains formulation op Substrate 2 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
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contains quantity op Enzyme Concentration ni
-
contains quantity op Enzyme - Product 2 Complex Concentration ni
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contains quantity op Enzyme - Substrate 1 Complex Concentration ni
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contains quantity op Product 1 Concentration ni
-
contains quantity op Product 2 Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate of Enzyme ni
-
contains quantity op Reaction Rate of Enzyme - Product 2 Complex ni
-
contains quantity op Reaction Rate of Enzyme - Substrate 1 Complex ni
-
contains quantity op Reaction Rate of Product 1 ni
-
contains quantity op Reaction Rate of Product 2 ni
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contains quantity op Reaction Rate of Substrate 1 ni
-
contains quantity op Reaction Rate of Substrate 2 ni
-
contains quantity op Substrate 1 Concentration ni
-
contains quantity op Substrate 2 Concentration ni
-
contains quantity op Time ni
-
defining formulation dp "$\begin{align} \frac{dc_{S_1}}{dt} &= k_{-1} c_{ES_1} - k_{1} c_{E} c_{S_1} \\ \frac{dc_{S_2}}{dt} &= k_{-2} c_{EP_2} c_{P_1} - k_{2} c_{ES_1} c_{S_2} \\ \frac{dc_{P_1}}{dt} &= k_{2} c_{ES_1} c_{S_2} - k_{-2} c_{EP_2} c_{P_1} \\ \frac{dc_{P_2}}{dt} &= k_{3} c_{EP_2} - k_{-3} c_{E} c_{P_2} \\ \frac{dc_{ES_1}}{dt} &= k_{1} c_{E} c_{S_1} + k_{-2} c_{EP_{2}} c_{P_1} - k_{-1} c_{ES_1} - k_2 c_{ES_1} c_{S_2} \\ \frac{dc_{EP_2}}{dt} &= k_{2} c_{ES_1} c_{S_2} + k_{-3} c_{E} c_{P_2} - k_{-2} c_{EP_2} c_{P_1} - k_3 c_{EP_2} \\ \frac{dc_{E}}{dt} &= k_{-1} c_{ES_1} + k_3 c_{EP_2} - k_{1} c_{E} c_{S_1} - k_{-3} c_{E} c_{P_2} \end{align}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{EP_2}}{dt}$, Reaction Rate of Enzyme - Product 2 Complex"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{ES_1}}{dt}$, Reaction Rate of Enzyme - Substrate 1 Complex"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{E}}{dt}$, Reaction Rate of Enzyme"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{P_1}}{dt}$, Reaction Rate of Product 1"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{P_2}}{dt}$, Reaction Rate of Product 2"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{S_1}}{dt}$, Reaction Rate of Substrate 1"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{S_2}}{dt}$, Reaction Rate of Substrate 2"^^La Te X ep
-
in defining formulation dp "$c_{EP_2}$, Enzyme - Product 2 Complex Concentration"^^La Te X ep
-
in defining formulation dp "$c_{ES_1}$, Enzyme - Substrate 1 Complex Concentration"^^La Te X ep
-
in defining formulation dp "$c_{E}$, Enzyme Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_1}$, Product 1 Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_2}$, Product 2 Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_1}$, Substrate 1 Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_2}$, Substrate 2 Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
Boundary Conditions of Electrophysiological Muscle ODE Systemni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Boundary_Conditions_for_Electrophysiological_Muscle_ODE_System
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contained as boundary condition in op Electrophysiological Muscle ODE System ni
-
contains quantity op Displacement Muscle Tendon ni
-
contains quantity op Material Point Displacement ni
-
contains quantity op Material Point Velocity ni
-
contains quantity op Stress Tensor (Piola-Kirchhoff) ni
-
defining formulation dp "$$\begin{array}{cccc} \mathbf{x}_{\text{M}1} = \mathbf{x}_{\text{T}}, &\dot{\mathbf{x}}_{\text{M}1} = \dot{\mathbf{x}}_{\text{T}}, & \mathbf{P}(\mathbf{F}_{\text{M}1})=\mathbf{P}(\mathbf{F}_{\text{T}}), & \text{on $\partial \Omega_{\text{M}1-\text{T}}$} \\ \mathbf{x}_{\text{M}2} = \mathbf{x}_{\text{T}}, &\dot{\mathbf{x}}_{\text{M}2} = \dot{\mathbf{x}}_{\text{T}}, & \mathbf{P}(\mathbf{F}_{\text{M}2})=\mathbf{P}(\mathbf{F}_{\text{T}}), & \text{on $\partial \Omega_{\text{M}2-\text{T}}$} \end{array}$$"^^La Te X ep
-
in defining formulation dp "$\dot{\mathbf{x}}$, Material Point Velocity"^^La Te X ep
-
in defining formulation dp "$\mathbf{P}$, Stress Tensor (Piola-Kirchhoff)"^^La Te X ep
-
in defining formulation dp "$\mathbf{x}$, Material Point Displacement"^^La Te X ep
-
in defining formulation dp "$x$, Displacement Muscle Tendon"^^La Te X ep
IRI: https://mardi4nfdi.de/mathmoddb#CenterOfProvince
-
belongs to
-
Quantity c
IRI: https://mardi4nfdi.de/mathmoddb#CentrifugalDistortionConstant
-
belongs to
-
Quantity c
-
has facts
-
description ap "This distortion leads to changes in bond distance and angles, affecting the rotational spectrum."@en
Change In Opinions Of Individualsni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#ChangeInOpinionsOfIndividuals
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Opinion Model With Influencers And Media ni
-
contains quantity op Interaction Force ni
-
contains quantity op Noise Strength ni
-
contains quantity op Opinion Vector of Individuals ni
-
contains quantity op Opinion Vector of Influencers ni
-
contains quantity op Opinion Vector of Media ni
-
contains quantity op Time ni
-
contains quantity op Wiener Process ni
-
defining formulation dp "$dx_i(t) = F_i(\mathbf{x}, \mathbf{y}, \mathbf{z}, t)dt + \sigma dW_i(t)$"^^La Te X ep
-
in defining formulation dp "$F_i(t)$, Interaction Force"^^La Te X ep
-
in defining formulation dp "$W_i(t)$, Wiener Process"^^La Te X ep
-
in defining formulation dp "$\mathbf{x}(t)$, Opinion Vector of Individuals"^^La Te X ep
-
in defining formulation dp "$\mathbf{y}(t)$, Opinion Vector of Media"^^La Te X ep
-
in defining formulation dp "$\mathbf{z}(t)$, Opinion Vector of Influencers"^^La Te X ep
-
in defining formulation dp "$\sigma$, Noise Strength"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
-
is deterministic dp "false"^^boolean
-
is dimensionless dp "false"^^boolean
-
is space-continuous dp "true"^^boolean
-
is time-continuous dp "true"^^boolean
-
description ap "Individuals i = 1,...,N adapt their opinions in time according to this stochastic differential equation (SDE)"@en
Classical Fokker Planck Equationni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#ClassicalFokkerPlanckEquation
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Classical Position ni
-
contains quantity op Control System Input ni
-
contains quantity op Diffusion Coefficient ni
-
contains quantity op Drift (Velocity) ni
-
contains quantity op Probability Distribution ni
-
contains quantity op Time ni
-
similar to formulation op Classical Brownian Equation ni
-
similar to formulation op Classical Langevin Equation ni
-
defining formulation dp "$\frac{\partial}{\partial t} p(x, t) = -\frac{\partial}{\partial x}\left[(\mu(x, t)-u) p(x, t)\right] + \frac{\partial^2}{\partial x^2}\left[D(x, t) p(x, t)\right]$"^^La Te X ep
-
in defining formulation dp "$D$, Diffusion constant"^^La Te X ep
-
in defining formulation dp "$\mu$, Drift"^^La Te X ep
-
in defining formulation dp "$p$, Probability Distribution"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
-
in defining formulation dp "$u_t$, Control System Input"^^La Te X ep
-
in defining formulation dp "$x$, Classical Position"^^La Te X ep
-
description ap "For vanishing drift and constant diffusion, the Fokker Planck equation yield's Fick's first law of diffusion."@en
-
description ap "Note the external forcing which connects the FPE to the model order reduction and/or optimal control tasks."@en
-
wikidata I D ap Q891766 ep
Coefficient Scaling Infectious To Exposedni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#CoefficientScalingInfectiousToExposed
-
belongs to
-
Quantity c
IRI: https://mardi4nfdi.de/mathmoddb#ComputationalSocialScience
-
belongs to
-
Research Field c
-
has facts
-
wikidata I D ap "https://www.wikidata.org/wiki/Q16909867"
IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemDuration
-
belongs to
-
Quantity c
IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemInitial
-
belongs to
-
Quantity c
Control System Lagrange Multiplierni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemLagrangeMultiplier
-
belongs to
-
Quantity c
IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemMatrixA
-
belongs to
-
Quantity c
IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemMatrixB
-
belongs to
-
Quantity c
IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemMatrixC
-
belongs to
-
Quantity c
IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemMatrixD
-
belongs to
-
Quantity c
IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemMatrixN
-
belongs to
-
Quantity c
IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemModelLinear
-
belongs to
-
Mathematical Model c
IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemOutput
-
belongs to
-
Quantity c
IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemState
-
belongs to
-
Quantity c
IRI: https://mardi4nfdi.de/mathmoddb#CostsPerUnit
-
belongs to
-
Quantity c
-
has facts
-
generalized by quantity op Costs ni
-
description ap "Costs per unit of something, e.g. costs per 1km, costs per vehicle, costs per line, costs per edge,..."@en
Coulomb Friction Of Two Particlesni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Coulomb_Friction_Of_Two_Particles
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Linear Discrete Element Method ni
-
defining formulation dp "if $F^{T, cons}_{ij}> \mu F_{ij}^N$ then $\mathbf F_{ij}^T = \mu F_{ij}^N \mathbf\xi_{ij}/\lVert \mathbf\xi_{ij}\rVert$"^^La Te X ep
-
in defining formulation dp "$F_{ij}^{T, cons}=-k_{ij}^T\lVert \mathbf \xi_{ij}\rVert$, conservative part of tangential interaction force"^^La Te X ep
IRI: https://mardi4nfdi.de/mathmoddb#DeathCount
-
belongs to
-
Quantity c
IRI: https://mardi4nfdi.de/mathmoddb#DensityFractionCoefficient
-
belongs to
-
Quantity c
Density Of States For Conduction Bandni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#DensityOfStatesForConductionBand
-
belongs to
-
Quantity c
Density Of States For Valence Bandni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#DensityOfStatesForValenceBand
-
belongs to
-
Quantity c
IRI: https://mardi4nfdi.de/mathmoddb#DetailedBalancePrinciple
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Quantum Lindblad Equation ni
-
contains quantity op Boltzmann Constant ni
-
contains quantity op Quantum Damping Rate ni
-
contains quantity op Quantum Eigen Energy ni
-
contains quantity op Quantum Number ni
-
contains quantity op Temperature ni
-
defining formulation dp "$\Gamma_{n \to m, m > n} = e^{-\frac{E_m-E_n}{k_BT}} \Gamma_{m \to n, m > n}$"^^La Te X ep
-
in defining formulation dp "$E$, Quantum Eigen Energy"^^La Te X ep
-
in defining formulation dp "$T$, Temperature"^^La Te X ep
-
in defining formulation dp "$\Gamma$, Quantum Damping Rate"^^La Te X ep
-
in defining formulation dp "$k_B$, Boltzmann constant"^^La Te X ep
-
in defining formulation dp "$m$, Quantum Number"^^La Te X ep
-
in defining formulation dp "$n$, Quantum Number"^^La Te X ep
-
description ap "The principle of detailed balance can be used in kinetic systems which are decomposed into elementary processes (collisions, or steps, or elementary reactions)."@en
-
wikidata I D ap Q1201087 ep
Diffusion Coefficient for SEIR Modelni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#DiffusionCoefficient
-
belongs to
-
Quantity c
-
has facts
-
description ap "describes the spatial mixing of the subpopulations and may, in general, depend on the spatial position."@en
IRI: https://mardi4nfdi.de/mathmoddb#DiracDeltaDistribution
-
belongs to
-
Quantity c
-
has facts
-
description ap "Value is zero everywhere except at zero, and whose integral over the entire real line is equal to one."@en
Dixon Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#DixonEquationUniUniReactionwithoutProductandMixedCompleteInhibitionSteadyStateAssumption
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
contains quantity op Inhibitor Concentration ni
-
contains quantity op Initial Reaction Rate ni
-
contains quantity op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
-
contains quantity op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
-
contains quantity op Substrate Concentration ni
-
contains quantity op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
linearizes formulation op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
-
defining formulation dp "$$\frac{1}{v_0} = \frac{1}{V_{max,f}} (1 + \frac{K_m}{c_S}) + \frac{c_I}{V_{max,f}} (\frac{1}{K_{iu}} + \frac{K_m}{K_{ic}*c_S})$$"^^La Te X ep
-
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{ic}$, Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$K_{iu}$, Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
-
in defining formulation dp "$c_I$, Inhibitor Concentration"^^La Te X ep
-
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
-
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "false"^^boolean
-
is dynamic dp "false"^^boolean
-
is linear dp "true"^^boolean
Dixon Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#DixonEquationUniUniReactionwithoutProductandNonCompetitiveCompleteInhibitionSteadyStateAssumption
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
contains quantity op Inhibitor Concentration ni
-
contains quantity op Initial Reaction Rate ni
-
contains quantity op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
-
contains quantity op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
-
contains quantity op Substrate Concentration ni
-
contains quantity op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
linearizes formulation op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
-
similar to formulation op Dixon Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
-
defining formulation dp "$$\frac{1}{v_0} = \frac{1}{V_{max,f}} (1 + \frac{K_m}{c_S}) + \frac{c_I}{V_{max,f}} (\frac{1}{K_{iu}} + \frac{K_m}{K_{ic}*c_S})$$"^^La Te X ep
-
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{ic}$, Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$K_{iu}$, Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
-
in defining formulation dp "$c_I$, Inhibitor Concentration"^^La Te X ep
-
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
-
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "false"^^boolean
-
is dynamic dp "false"^^boolean
-
is linear dp "true"^^boolean
IRI: https://mardi4nfdi.de/mathmoddb#EffectiveConductivity
-
belongs to
-
Quantity c
-
has facts
-
generalized by quantity op Electric Conductivity ni
-
description ap "Effective conductivity refers to the combined effects of conduction, convection, and radiation heat transfer within an enclosed space or material and measures how effectively the medium can transfer heat."@en
Effective Mass (Solid-State Physics)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#EffectiveMassSolidStatePhysics
-
belongs to
-
Quantity c
-
has facts
-
generalized by quantity op Effective Mass ni
-
description ap "In solid state physics, effective electron masses are deduced from band structure calculations (curvature of bands). In certain cases, these masses can have negative values. Their absolute values are typically found between 0.01 and 10 times the mass of a free electron."@en
-
wikidata I D ap Q1064434 ep
IRI: https://mardi4nfdi.de/mathmoddb#ElasticStiffnessTensor
-
belongs to
-
Quantity c
-
has facts
-
description ap "Elastic Stiffness Tensor, used e.g. in Hook's Law for the elastic deformation of a solid."@en
Electrophysiological Muscle ODE Systemni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Electrophysiological_Muscle_Model_ODE_System
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Electrophysiological Muscle Model ni
-
contains formulation op Lumped Activation Parameter ni
-
contains quantity op Displacement Muscle Tendon ni
-
contains quantity op Material Density ni
-
contains quantity op Material Point Acceleration ni
-
contains quantity op Material Point Velocity ni
-
contains quantity op Pressure ni
-
contains quantity op Stress Tensor (Piola-Kirchhoff) ni
-
contains quantity op Time ni
-
defining formulation dp "$\begin{align} \rho_{\text{M}1} \mathbf{\ddot{x}}_{\text{M}1} &= \mathbf{\nabla} \cdot \left(\mathbf{P}_{\text{passive}}(\mathbf{F}_{\text{M}1}) + \mathbf{P}_{\text{active}}(\mathbf{F}_{\text{M}1}, \gamma_{\text{M}1}) - p_{\text{M}1}\mathbf{F}^{-T}_{\text{M}1} \right), &\text{div $\mathbf{\dot{x}}_{\text{M}1} = 0$} ~ &\text{in $\Omega_{\text{M}1}\times [0,T_{\text{end}})$}\\ \rho_{\text{M}2} \mathbf{\ddot{x}}_{\text{M}2} &= \mathbf{\nabla} \cdot \left(\mathbf{P}_{\text{passive}}(\mathbf{F}_{\text{M}2}) + \mathbf{P}_{\text{active}}(\mathbf{F}_{\text{M}2}, \gamma_{\text{M}2}) - p_{\text{M}2}\mathbf{F}^{-T}_{\text{M}2} \right), &\text{div $\mathbf{\dot{x}}_{\text{M}2} = 0$} ~ &\text{in $\Omega_{\text{M}2}\times [0,T_{\text{end}})$}\\ \rho_{\text{T}}\mathbf{\ddot{x}}_\text{T}&= \mathbf{\nabla} \cdot \left(\mathbf{P}_\text{passive}(\mathbf{F}_{\text{T}}) - p_\text{T}\mathbf{F}^{-T}_{\text{T}}\right), &\text{div $\mathbf{\dot{x}}_{\text{T}}=0$}& ~\text{in $\Omega_{\text{T}}\times [0,T_{\text{end}})$} \end{align}$"^^La Te X ep
-
in defining formulation dp "$\ddot{\mathbf{x}}$, Material Point Acceleration"^^La Te X ep
-
in defining formulation dp "$\dot{\mathbf{x}}$, Material Point Velocity"^^La Te X ep
-
in defining formulation dp "$\gamma$, Lumped Activation Parameter"^^La Te X ep
-
in defining formulation dp "$\mathbf{P}$, Stress Tensor (Piola-Kirchhoff)"^^La Te X ep
-
in defining formulation dp "$\mathbf{x}$, Displacement Muscle Tendon"^^La Te X ep
-
in defining formulation dp "$\rho$, Material Density"^^La Te X ep
-
in defining formulation dp "$p$, Pressure"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
-
description ap "One continuum mechanics three-dimensional model for each participant. The equations originate from conservation of mass and momentum for each participant."@en
Empirical Distribution Of Individualsni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#EmpiricalDistributionOfIndividuals
-
belongs to
-
Quantity c
-
has facts
-
description ap "Empirical distribution of individuals that follow a specific medium and influencer at a given time by the sum of Dirac Delta distributions placed at the individuals’ opinions."@en
Enzyme - Product 1 - Complex Concentration ODE (Bi Bi Reaction Ordered with single central Complex)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Enzyme-Product1ComplexConcentrationODEBiBiOrderedsingleCC
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\frac{dc_{EP_1}}{dt} = k_{4} c_{ES_{1}S_{2}=EP_{1}P_{2}} + k_{-5} c_{E} c_{P_1} - k_{-4} c_{EP_1} c_{P_2} - k_{5} c_{EP_1}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{EP_{1}}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{EP_{1}}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{ES_{1}S_{2}=EP_{1}P_{2}}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_{1}}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_{2}}$, Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-5}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
Enzyme - Product 1 - Complex Concentration ODE (Bi Bi Reaction Ordered)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Enzyme-Product1ComplexConcentrationODEBiBiOrdered
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\frac{dc_{EP_1}}{dt} = k_{4} c_{EP_{1}P_{2}} + k_{-5} c_{E} c_{P_1} - k_{-4} c_{EP_1} c_{P_2} - k_{5} c_{EP_1}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{EP_{1}}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{EP_{1}P_{2}}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{EP_{1}}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_{1}}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_{2}}$, Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-5}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
Enzyme - Product 1 - Product 2 - Complex Concentration ODE (Bi Bi Reaction Ordered)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Enzyme-Product1-Product2ComplexConcentrationODEBiBiOrdered
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\frac{dc_{EP_{1}P_{2}}}{dt} = k_{3} c_{ES_{1}S_{2}} + k_{-4} c_{EP_1} c_{P_2} - k_{-3} c_{EP_{1}P_{2}} - k_{4} c_{EP_{1}P_{2}}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{EP_{1}P_{2}}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{EP_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{EP_{1}P_{2}}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{ES_{1}S_{2}}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
Enzyme - Product 2 - Complex Concentration ODE (Bi Bi Reaction Theorell-Chance)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Enzyme-Product2ComplexConcentrationODEBiBiTheorellChance
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\frac{dc_{EP_2}}{dt} = k_{2} c_{ES_1} c_{S_2} + k_{-3} c_{E} c_{P_2} - k_{-2} c_{EP_2} c_{P_1} - k_3 c_{EP_2}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{EP_2}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{EP_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
Enzyme - Substrate - Complex Concentration ODE (Uni Uni Reaction)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#EnzymeSubstrateComplexConcentrationODEUniUni
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\frac{dc_{ES}}{dt}=k_{1}*c_{E}*c_{S}-k_{-1}*c_{ES}-k_{2}*c_{ES}+k_{-2}*c_{E}*c_{P}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{ES}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{ES}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S}$, Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ordered with single central Complex)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Enzyme-Substrate1ComplexConcentrationODEBiBiOrderedsingleCC
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\frac{dc_{ES_1}}{dt} = k_{1} c_{E} c_{S_1} + k_{-2} c_{ES_{1}S_{2}=EP_{1}P_{2}} - k_{-1} c_{ES_1} - k_2 c_{ES_1} c_{S_2}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{ES_1}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{ES_{1}S_{2}=EP_{1}P_{2}}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ordered)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Enzyme-Substrate1ComplexConcentrationODEBiBiOrdered
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\frac{dc_{ES_1}}{dt} = k_{1} c_{E} c_{S_1} + k_{-2} c_{ES_{1}S_{2}} - k_{-1} c_{ES_1} - k_2 c_{ES_1} c_{S_2}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{ES_1}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{ES_{1}S_{2}}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ping Pong)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Enzyme-Substrate1ComplexConcentrationODEBiBiPingPong
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\frac{dc_{ES_1}}{dt} = k_{1} c_{E} c_{S_1} + k_{-2} c_{E*} c_{P_1} - k_{-1} c_{ES_1} - k_{2} c_{ES_1}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{ES_1}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{E*}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Theorell-Chance)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Enzyme-Substrate1ComplexConcentrationODEBiBiTheorellChance
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\frac{dc_{ES_1}}{dt} = k_{1} c_{E} c_{S_1} + k_{-2} c_{EP_{2}} c_{P_1} - k_{-1} c_{ES_1} - k_2 c_{ES_1} c_{S_2}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{ES_1}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{EP_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
Enzyme - Substrate 1 - Substrate 2 - Complex Concentration ODE (Bi Bi Reaction Ordered)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Enzyme-Substrate1-Substrate2ComplexConcentrationODEBiBiOrdered
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\frac{dc_{ES_{1}S_{2}}}{dt} = k_{2} c_{ES_1} c_{S_2} + k_{-3} c_{EP_{1}P_{2}} - k_{-2} c_{ES_{1}S_{2}} - k_{3} c_{ES_{1}S_{2}}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{ES_{1}S_{2}}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{EP_{1}P_{2}}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{ES_{1}S_{2}}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 - Complex Concentration ODE (Bi Bi Reaction Ordered with single central Complex)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Enzyme-Substrate1-Substrate2Enzyme-Product1-Product2-ComplexConcentrationODEBiBiOrderedsingleCC
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\frac{dc_{ES_{1}E_{2}=EP_{1}P_{2}}}{dt} = k_2 c_{ES_1} c_{S_2} - k_{-2} c_{ES_{1}E_{2}=EP_{1}P_{2}} - k_4 c_{ES_{1}E_{2}=EP_{1}P_{2}} + k_{-4} c_{EP_1} c_{P_2}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{ES_{1}S_{2}=EP_{1}P_{2}}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{EP_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{ES_{1}S_{2}=EP_{1}P_{2}}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
Enzyme Concentration ODE (Bi Bi Reaction Ordered with single central Complex)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#EnzymeConcentrationODEBiBiOrderedsingleCC
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\frac{dc_{E}}{dt} = k_{-1} c_{ES_1} + k_5 c_{EP_1} - k_{1} c_{E} c_{S_1} - k_{-5} c_{E} c_{P_1}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{E}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{EP_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-5}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
Enzyme Concentration ODE (Bi Bi Reaction Ordered)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#EnzymeConcentrationODEBiBiOrdered
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\frac{dc_{E}}{dt} = k_{-1} c_{ES_1} + k_5 c_{EP_1} - k_{1} c_{E} c_{S_1} - k_{-5} c_{E} c_{P_1}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{E}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{EP_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-5}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
Enzyme Concentration ODE (Bi Bi Reaction Ping Pong)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#EnzymeConcentrationODEBiBiPingPong
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\frac{dc_{E}}{dt} = k_{-1} c_{ES_1} + k_{4} c_{E*S_2} - k_{1} c_{E} c_{S_1} - k_{-4} c_{E} c_{P_2}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{E}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{E*S_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
Enzyme Concentration ODE (Bi Bi Reaction Theorell-Chance)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#EnzymeConcentrationODEBiBiTheorellChance
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\frac{dc_{E}}{dt} = k_{-1} c_{ES_1} + k_3 c_{EP_2} - k_{1} c_{E} c_{S_1} - k_{-3} c_{E} c_{P_2}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{E}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{EP_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
Enzyme Concentration ODE (Uni Uni Reaction)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#EnzymeConcentrationODEUniUni
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\frac{dc_{E}}{dt}=-k_{1}*c_{E}*c_{S}+k_{-1}*c_{ES}+k_{2}*c_{ES}-k_{-2}*c_{E}*c_{P}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{E}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{ES}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S}$, Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
Equilibrium Constant (Bi Bi Reaction Ordered - Steady State Assumption) (Definition)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#EquilibriumConstantBiBiReactionOrderedSSDefinition
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Equilibrium Constant (Bi Bi Reaction Ordered - Steady State Assumption) ni
-
contains quantity op Reaction Rate Constant ni
-
defining formulation dp "$K_{eq} \equiv \frac{k_1 k_2 k_3 k_4 k_5}{k_{-1} k_{-2} k_{-3} k_{-4} k_{-5}}$"^^La Te X ep
-
in defining formulation dp "$K_{eq}$, Equilibrium Constant (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-5}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
Ermoneit (2023) Optimal control of conveyor-mode spin-qubit shuttling in a Si/SiGe quantum bus in the presence of charged defectsni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Ermoneit_2023_Optimal_control_of_conveyor-mode_spin-qubit_shuttling_in_a_Si_SiGe_quantum_bus_in_the_presence_of_charged_defects
-
belongs to
-
Publication c
-
has facts
-
doi I D ap W I A S. P R E P R I N T.3082 ep
IRI: https://mardi4nfdi.de/mathmoddb#EulerBackwardMethod
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Time Step ni
-
generalizes formulation op Darcy Equation (Euler Backward) ni
-
generalizes formulation op Stokes Equation (Euler Backward) ni
-
defining formulation dp "$y_{n+1}=y_{n}+h f\left(t_{n+1}, y_{n+1}\right)$"^^La Te X ep
-
in defining formulation dp "$f$, function occuring on the right-hand-side of the ODE or PDE under consideration"^^La Te X ep
-
in defining formulation dp "$h$, Time Step"^^La Te X ep
-
in defining formulation dp "$h$, size of time step"^^La Te X ep
-
in defining formulation dp "$n$, index of time step"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
-
in defining formulation dp "$y$, function solving the ODE or PDE under consideration"^^La Te X ep
-
is time-continuous dp "false"^^boolean
-
description ap "similar to the (standard, forward, explicit) Euler method, but differs in that it is an implicit method. The backward Euler method has error of order one in time."@en
-
alt Label ap "Implicit Euler Method"
-
wikidata I D ap Q2736820 ep
IRI: https://mardi4nfdi.de/mathmoddb#ExternalChemicalPotential
-
belongs to
-
Quantity c
IRI: https://mardi4nfdi.de/mathmoddb#ExternalForceDensity
-
belongs to
-
Quantity c
-
has facts
-
description ap "In fluid mechanics, the force density is the negative gradient of pressure. It has the physical dimensions of force per unit volume. Force density is a vector field representing the flux density of the hydrostatic force within the bulk of a fluid."@en
-
wikidata I D ap Q4117184 ep
IRI: https://mardi4nfdi.de/mathmoddb#FarFieldRadiation
-
belongs to
-
Computational Task c
-
has facts
-
applies model op Maxwell Equations Model ni
-
description ap "Shalva: Given ρ(r, t) and j(r, t) that are localized in some domain in space, calculate E(r, t) and B(r, t) far from this domain. For instance, calculate the electromagnetic field emitted by an oscillating dipole."@en
-
description ap "The far field is a region of the electromagnetic (EM) field around an object, such as a transmitting antenna, or the result of radiation scattering off an object. Electromagnetic radiation far-field behaviors predominate at greater distances."@en
Fluid Intrinsic Permeability (Porous Medium)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#FluidIntrinsicPermeabilityPorousMedium
-
belongs to
-
Quantity c
-
has facts
-
alt Label ap "Intrinsic Permeability"@en
IRI: https://mardi4nfdi.de/mathmoddb#FluidViscousStress
-
belongs to
-
Quantity c
-
has facts
-
description ap "The viscous stress tensor models stress in continuum mechanics due to strain rate, representing material deformation at a point."@en
-
wikidata I D ap Q7935892 ep
IRI: https://mardi4nfdi.de/mathmoddb#FreeFallEquationAirDrag
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Free Fall Model (Air Drag) ni
-
contains quantity op Cross Section ni
-
contains quantity op Density Of Air ni
-
contains quantity op Drag Coefficient ni
-
contains quantity op Free Fall Height ni
-
contains quantity op Free Fall Initial Height ni
-
contains quantity op Free Fall Initial Velocity ni
-
contains quantity op Free Fall Mass ni
-
contains quantity op Free Fall Terminal Velocity ni
-
contains quantity op Free Fall Velocity ni
-
contains quantity op Gravitational Acceleration (Earth Surface) ni
-
contains quantity op Time ni
-
defining formulation dp "$\begin{align} m\dot{v} &=& mg-\frac{1}{2}\rho C_DAv^2\\ v(t) &=& v_{\infty}\tanh\left(\frac{gt}{v_{\infty}}\right) \\ y(t) &=& y_0+v_0t-\frac{v_\infty^2}{g}\ln\cosh\left(\frac{gt}{v_\infty}\right) \end{align}$"^^La Te X ep
-
in defining formulation dp "$A$, Cross Section"^^La Te X ep
-
in defining formulation dp "$C_D$, Drag Coefficient"^^La Te X ep
-
in defining formulation dp "$\rho$, Density of Air"^^La Te X ep
-
in defining formulation dp "$g$, Gravitational Acceleration (Earth Surface)"^^La Te X ep
-
in defining formulation dp "$m$, Free Fall Mass"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
-
in defining formulation dp "$v$, Free Fall Velocity"^^La Te X ep
-
in defining formulation dp "$v_0$, Free Fall Initial Velocity"^^La Te X ep
-
in defining formulation dp "$v_{\infty}$, Free Fall Terminal Velocity"^^La Te X ep
-
in defining formulation dp "$y$, Free Fall Height"^^La Te X ep
-
in defining formulation dp "$y_0$, Free Fall Initial Height"^^La Te X ep
-
is linear dp "false"^^boolean
-
description ap "Moreover, assuming the falling object to be a point mass."@en
-
wikidata I D ap Q38083707 ep
IRI: https://mardi4nfdi.de/mathmoddb#FrictionCoefficient
-
belongs to
-
Quantity c
-
has facts
-
description ap "coefficient of friction, aka damping constant. Units of inverse time"@en
-
alt Label ap "Damping Constant"@en
-
wikidata I D ap Q82580 ep
IRI: https://mardi4nfdi.de/mathmoddb#GammaGompertzMakehamModel
-
belongs to
-
Mathematical Model c
-
has facts
-
description ap "We assume that death counts at age x are Poisson-distributed and the underlying population level hazard function follows a Gamma-Gompertz-Makeham model."@en
-
wikidata I D ap Q2734378 ep
Hanes Woolf Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#HanesWoolfEquationUniUniReactionwithoutProductandMixedCompleteInhibitionSteadyStateAssumption
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
contains quantity op Inhibitor Concentration ni
-
contains quantity op Initial Reaction Rate ni
-
contains quantity op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
-
contains quantity op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
-
contains quantity op Substrate Concentration ni
-
contains quantity op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
linearizes formulation op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
-
defining formulation dp "$$\frac{c_S}{v_0} = \frac{c_S (1 + \frac{c_I}{K_{iu}})}{V_{max,f}} + \frac{K_m (1 + \frac{c_I}{K_{ic}})}{V_{max,f}}$$"^^La Te X ep
-
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{ic}$, Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$K_{iu}$, Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
-
in defining formulation dp "$c_I$, Inhibitor Concentration"^^La Te X ep
-
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
-
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "false"^^boolean
-
is dynamic dp "false"^^boolean
-
is linear dp "true"^^boolean
Hanes Woolf Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#HanesWoolfEquationUniUniReactionwithoutProductandNonCompetitiveCompleteInhibitionSteadyStateAssumption
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
contains quantity op Inhibitor Concentration ni
-
contains quantity op Initial Reaction Rate ni
-
contains quantity op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
-
contains quantity op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
-
contains quantity op Substrate Concentration ni
-
contains quantity op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
linearizes formulation op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
-
similar to formulation op Hanes Woolf Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
-
defining formulation dp "$\frac{c_S}{v_0} = \frac{c_S (1 + \frac{c_I}{K_{iu}})}{V_{max,f}} + \frac{K_m (1 + \frac{c_I}{K_{ic}})}{V_{max,f}}$"^^La Te X ep
-
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{ic}$, Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$K_{iu}$, Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
-
in defining formulation dp "$c_I$, Inhibitor Concentration"^^La Te X ep
-
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
-
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "false"^^boolean
-
is dynamic dp "false"^^boolean
-
is linear dp "true"^^boolean
IRI: https://mardi4nfdi.de/mathmoddb#HankelSingularValue
-
belongs to
-
Quantity c
-
has facts
-
description ap "In control theory, Hankel singular values, named after Hermann Hankel, are the basis for balanced model reduction, in which controllable and observable states are retained while the remaining states are discarded. The reduced model retains the important features of the original model."@en
-
wikidata I D ap Q5648530 ep
IRI: https://mardi4nfdi.de/mathmoddb#HeterogeneityOfDeathRate
-
belongs to
-
Quantity c
Homs-Pons (2024) Coupled simulations and parameter inversion for neural system and electrophysiological muscle modelsni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Homs-Pons_2024_Coupled_simulations_and_parameter_inversion_for_neural_system_and_electrophysiological_muscle_models
-
belongs to
-
Publication c
-
has facts
-
doi I D ap gamm.202370009 ep
IRI: https://mardi4nfdi.de/mathmoddb#HyperstressPotential
-
belongs to
-
Quantity c
Identify Destruction Rules in Ancient Egyptian Objectsni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#IdentifyDestructionRulesInAncientEgyptianObjects
-
belongs to
-
Research Problem c
-
has facts
-
contained in field op Egyptology ni
-
description ap "common destruction patterns in ancient egyptian objects from the 'Cachette de Karnak' suggest that specific rules govern these occurences"@en
IRI: https://mardi4nfdi.de/mathmoddb#ImagingOfNanostructures
-
belongs to
-
Research Problem c
-
has facts
-
contained in field op Transmission Electron Microscopy ni
-
modeled by op Dynamical Electron Scattering Model ni
-
description ap "We present a mathematical model and a tool chain for the numerical simulation of transmission electron microscopy (TEM) images of semiconductor quantum dots (QDs). This includes elasticity theory to obtain the strain profile coupled with the Darwin–Howie–Whelan equations, describing the propagation of the electron wave through the sample. This tool chain can be applied to generate a database of simulated transmission electron microscopy (TEM) images, which is a key element of a novel concept for model-based geometry reconstruction of semiconductor QDs, involving machine learning techniques."@en
-
doi I D ap s11082 020 02356 y ep
-
wikidata I D ap Q110779037 ep
Initial Reaction Rate of Uni Uni Reaction without Product and Competitive Complete Inhibitionni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateofUniUniReactionwithoutProductandCompetitiveCompleteInhibition
-
belongs to
-
Research Problem c
Initial Reaction Rate of Uni Uni Reaction without Product and Competitive Partial Inhibitionni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateofUniUniReactionwithoutProductandCompetitivePartialInhibition
-
belongs to
-
Research Problem c
Initial Reaction Rate of Uni Uni Reaction without Product and Mixed Complete Inhibitionni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateofUniUniReactionwithoutProductandMixedCompleteInhibition
-
belongs to
-
Research Problem c
Initial Reaction Rate of Uni Uni Reaction without Product and Mixed Partial Inhibitionni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateofUniUniReactionwithoutProductandMixedPartialInhibition
-
belongs to
-
Research Problem c
Initial Reaction Rate of Uni Uni Reaction without Product and Non-Competitive Complete Inhibitionni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateofUniUniReactionwithoutProductandNonCompetitiveCompleteInhibition
-
belongs to
-
Research Problem c
Initial Reaction Rate of Uni Uni Reaction without Product and Non-Competitive Partial Inhibitionni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateofUniUniReactionwithoutProductandNonCompetitivePartialInhibition
-
belongs to
-
Research Problem c
Initial Reaction Rate of Uni Uni Reaction without Product and Uncompetitive Complete Inhibitionni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateofUniUniReactionwithoutProductandUncompetitiveCompleteInhibition
-
belongs to
-
Research Problem c
Initial Reaction Rate of Uni Uni Reaction without Product and Uncompetitive Partial Inhibitionni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateofUniUniReactionwithoutProductandUncompetitivePartialInhibition
-
belongs to
-
Research Problem c
Interaction Force On An Individualni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#InteractionForceOnAnIndividual
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Opinion Model With Influencers And Media ni
-
contains quantity op Influencer Individual Matrix ni
-
contains quantity op Interaction Force ni
-
contains quantity op Interaction Weight ni
-
contains quantity op Medium Follower Matrix ni
-
contains quantity op Parameter To Scale Attractive Force From Influencers ni
-
contains quantity op Parameter To Scale Attractive Force From Media ni
-
contains quantity op Parameter To Scale Attractive Force From Other Individuals ni
-
contains quantity op Time ni
-
defining formulation dp "$F_i(\mathbf{x}, \mathbf{y}, \mathbf{z}, t)=\frac{a}{\sum_{j^{\prime}} w_{i j^{\prime}}(t)} \sum_{j=1}^N w_{i j}(t)\left(x_j(t)-x_i(t)\right)+b \sum_{m=1}^M B_{i m}(t)\left(y_m(t)-x_i(t)\right)+c \sum_{l=1}^L C_{i l}(t)\left(z_l(t)-x_i(t)\right)$"
-
in defining formulation dp "$B(t)$, Medium Follower Matrix"^^La Te X ep
-
in defining formulation dp "$C(t)$, Influencer Individual Matrix"^^La Te X ep
-
in defining formulation dp "$F_i(t)$, Interaction Force"^^La Te X ep
-
in defining formulation dp "$a$, Parameter To Scale Attractive Force From Other Individuals"^^La Te X ep
-
in defining formulation dp "$b$, Parameter To Scale Attractive Force From Media"^^La Te X ep
-
in defining formulation dp "$c$, Parameter To Scale Attractive Force From Influencers"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
-
in defining formulation dp "$w_{ij}$, Interaction Weight"^^La Te X ep
-
is space-continuous dp "true"^^boolean
-
is time-continuous dp "true"^^boolean
-
description ap "The interaction force on individual i is given by a weighted sum of attractive forces from all other connected individuals j, the respective media and the respective influencer scaled by the parameters a,b,c > 0 respectively."@en
IRI: https://mardi4nfdi.de/mathmoddb#IntermolecularPotential
-
belongs to
-
Quantity c
-
has facts
-
description ap "Intermolecular potential energy function that describes the interactions between molecules. Typically, Intermolecular forces are weak relative to intramolecular forces."@en
-
wikidata I D ap Q245031 ep
IRI: https://mardi4nfdi.de/mathmoddb#IsotropicGaussianFunction
-
belongs to
-
Quantity c
-
has facts
-
description ap "Isotropic Gaussian Function located at the center of the respective province used in the PDE SEIR Model for representing density and density fractions"@en
Koprucki (2017) Numerical methods for drift-diffusion modelsni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Koprucki_2017_Numerical_methods_for_drift-diffusion_models
-
belongs to
-
Publication c
-
has facts
-
description ap "Handbook of Optoelectronic Device Modeling and Simulation, Chapter = 50, Editor = Joachim Piprek, Pages = 733-771, Title = Drift-Diffusion Models, publisher = CRC Press, Volume = 2, Year = 2017"@en
-
doi I D ap W I A S. P R E P R I N T.2263 ep
Leskovac (2003) Comprehensive Enzyme Kineticsni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Leskovac_2003_Comprehensive_Enzyme_Kinetics
-
belongs to
-
Publication c
-
has facts
-
surveys op Enzyme Kinetics ni
-
description ap "Vrvic, Miroslav. (2003). Comprehensive enzyme kinetics by V. Leskovac, Published by Kluwer Academic/Plenum Plblisher New York, March 2003-11-17. Journal of The Serbian Chemical Society - J SERB CHEM SOC. 68. 1011-1013"@en
-
doi I D ap J S C0312011 V ep
IRI: https://mardi4nfdi.de/mathmoddb#LevelOfMortality
-
belongs to
-
Quantity c
IRI: https://mardi4nfdi.de/mathmoddb#LikelihoodValue
-
belongs to
-
Quantity c
-
has facts
-
description ap "measure used in statistics to quantify how well a given set of model parameters explains observed data"@en
-
wikidata I D ap Q45284 ep
IRI: https://mardi4nfdi.de/mathmoddb#LineCostsComputation
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Costs ni
-
contains quantity op Costs per Unit ni
-
contains quantity op Duration ni
-
contains quantity op Fixed Costs ni
-
contains quantity op Graph Type Identifier ni
-
contains quantity op Length ni
-
contains quantity op Period Length ni
-
contains quantity op Turn Over Time ni
-
defining formulation dp "$cost_l=costs\_fixed+\sum_{e \in l}\left(costs\_length \cdot length_e + costs\_edges\right) + costs\_vehicles \cdot \lvert x \cdot \frac{duration_l + turn\_over\_time}{period\_length}\rvert$"^^La Te X ep
-
in defining formulation dp "$cost_l$, Costs"^^La Te X ep
-
in defining formulation dp "$costs\_edges$, Costs"^^La Te X ep
-
in defining formulation dp "$costs\_fixed$, Fixed Costs"^^La Te X ep
-
in defining formulation dp "$costs\_length$, Costs per Unit"^^La Te X ep
-
in defining formulation dp "$costs\_vehicles$, Costs"^^La Te X ep
-
in defining formulation dp "$duration_l$, Duration"^^La Te X ep
-
in defining formulation dp "$length_e$, Length"^^La Te X ep
-
in defining formulation dp "$period\_length$, Period Length"^^La Te X ep
-
in defining formulation dp "$turn\_over\_time$, Turn Over Time"^^La Te X ep
-
in defining formulation dp "$x$,Graph Type Identifier"^^La Te X ep
-
description ap "The costs of a single line in public transport are made up of various individual costs."@en
Lineweaver Burk Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#LineweaverBurkEquationUniUniReactionwithoutProductandMixedCompleteInhibitionSteadyStateAssumption
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
contains quantity op Inhibitor Concentration ni
-
contains quantity op Initial Reaction Rate ni
-
contains quantity op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
-
contains quantity op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
-
contains quantity op Substrate Concentration ni
-
contains quantity op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
linearizes formulation op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
-
defining formulation dp "$\frac{1}{v_0} = \frac{1 + \frac{c_I}{K_{iu}}}{V_{max,f}}+ \frac{K_m (1 + \frac{c_I}{K_{ic}})}{V_{max,f} c_S}$"^^La Te X ep
-
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{ic}$, Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$K_{iu}$, Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
-
in defining formulation dp "$c_I$, Inhibitor Concentration"^^La Te X ep
-
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
-
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "false"^^boolean
-
is dynamic dp "false"^^boolean
-
is linear dp "true"^^boolean
Lineweaver Burk Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#LineweaverBurkEquationUniUniReactionwithoutProductandNonCompetitiveCompleteInhibitionSteadyStateAssumption
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
contains quantity op Inhibitor Concentration ni
-
contains quantity op Initial Reaction Rate ni
-
contains quantity op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
-
contains quantity op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
-
contains quantity op Substrate Concentration ni
-
contains quantity op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
linearizes formulation op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
-
similar to formulation op Lineweaver Burk Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
-
defining formulation dp "$\frac{1}{v_0} = \frac{1 + \frac{c_I}{K_{iu}}}{V_{max,f}}+ \frac{K_m (1 + \frac{c_I}{K_{ic}})}{V_{max,f} c_S}$"^^La Te X ep
-
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{ic}$, Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$K_{iu}$, Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
-
in defining formulation dp "$c_I$, Inhibitor Concentration"^^La Te X ep
-
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
-
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "false"^^boolean
-
is dynamic dp "false"^^boolean
-
is linear dp "true"^^boolean
IRI: https://mardi4nfdi.de/mathmoddb#LinkRecommendationFunction
-
belongs to
-
Quantity c
-
has facts
-
is dimensionless dp "true"^^boolean
-
description ap "Link recommendation algorithms are often used to suggest new connections to users that have the greatest potential to be established. In modelling Opinion Dynamics, link recommendation can be incorporated via this function by assuming that individuals have a higher chance of switching to an influencer with a structurally similar followership. Strictly increasing on [0,1]"@en
IRI: https://mardi4nfdi.de/mathmoddb#LossFunctionDefinition
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Spreading Curve (Approximate) ni
-
contains quantity op Loss Function ni
-
contains quantity op Number of Regions ni
-
contains quantity op Number of Time Points ni
-
contains quantity op Romanized Cities Vector ni
-
contains quantity op Contact Network (Time-dependent) ni
-
contains quantity op Time Point ni
-
contains quantity op Weight Factor ni
-
defining formulation dp "$\ell (\sigma ) := \sum _{i=1}^{N_T} \sum _{m=1}^{N_R} \frac{(\omega _{m,t_i} - \phi (t_i| \sigma , \omega _{\bullet , 0}))^2 }{C_{m,t_i}^2}$"^^La Te X ep
-
in defining formulation dp "$C$, Weight Factor"^^La Te X ep
-
in defining formulation dp "$N_R$, Number of Regions"^^La Te X ep
-
in defining formulation dp "$N_T$, Number of Time Points"^^La Te X ep
-
in defining formulation dp "$\ell$, Loss Function"^^La Te X ep
-
in defining formulation dp "$\omega$, Romanized Cities Vector"^^La Te X ep
-
in defining formulation dp "$\phi$, Spreading Curve (Approximate)"^^La Te X ep
-
in defining formulation dp "$\sigma$, Contact Network (Time-dependent)"^^La Te X ep
-
in defining formulation dp "$t_i$, Time Point"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "true"^^boolean
-
is dynamic dp "false"^^boolean
Lyapunov Generalized Controllabilityni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#LyapunovGeneralizedControllability
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Control System Matrix A ni
-
contains quantity op Control System Matrix B ni
-
contains quantity op Control System Matrix N ni
-
contains quantity op Gramian Generalized Controllability ni
-
generalized by formulation op Lyapunov Equation ni
-
generalizes formulation op Lyapunov Equation Controllability ni
-
similar to formulation op Lyapunov Generalized Observability ni
-
defining formulation dp "$AW_c + W_cA^{*} + \sum_kN_kW_{c}N_k^{*} + BB^{*} = 0$"^^La Te X ep
-
in defining formulation dp "$A$, Control System Matrix A"^^La Te X ep
-
in defining formulation dp "$B$, Control System Matrix B"^^La Te X ep
-
in defining formulation dp "$N$, Control System Matrix N"^^La Te X ep
-
in defining formulation dp "$W_c$, Gramian Generalized Controllability"^^La Te X ep
-
description ap "For a numerical solution, one can resort to iterative schemes, which requires the solution of a standard Lyapunov equation in each step. As an alternative, one may use the biconjugate gradient method (with preconditioner) as suggested by Tobias Breiten from TU Graz, Austria, now TU Berlin."@en
-
description ap "For the solvability of generalized Lyapunov equations, there are two requirements: (1) stability condition for A and (2) suitable upper bound for the norm of N."@en
Lyapunov Generalized Observabilityni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#LyapunovGeneralizedObservability
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Control System Matrix A ni
-
contains quantity op Control System Matrix C ni
-
contains quantity op Control System Matrix N ni
-
contains quantity op Gramian Generalized Observability ni
-
generalized by formulation op Lyapunov Equation ni
-
generalizes formulation op Lyapunov Equation Observability ni
-
defining formulation dp "$A^{*}W_o + W_oA + \sum_k N_k^{*}W_{o}N_k + C^*C = 0$"^^La Te X ep
-
in defining formulation dp "$A$, Control System Matrix A"^^La Te X ep
-
in defining formulation dp "$C$, Control System Matrix C"^^La Te X ep
-
in defining formulation dp "$N$, Control System Matrix N"^^La Te X ep
-
in defining formulation dp "$W_c$, Gramian Generalized Observability"^^La Te X ep
-
description ap "For a numerical solution, one can resort to iterative schemes, which requires the solution of a standard Lyapunov equation in each step. As an alternative, one may use the biconjugate gradient method (with preconditioner) as suggested by Tobias Breiten from TU Graz, Austria, now TU Berlin."@en
-
description ap "For the solvability of generalized Lyapunov equations, there are two requirements: (1) stability condition for A and (2) suitable upper bound for the norm of N."@en
IRI: https://mardi4nfdi.de/mathmoddb#MaterialPointDisplacement
-
belongs to
-
Quantity c
-
has facts
-
generalized by quantity op Displacement ni
-
description ap "Material Point Displacement in the context of the Material Point Method (MPM) refers to the movement of material points, which are used to track physical information like mass and velocity."@en
IRI: https://mardi4nfdi.de/mathmoddb#MaterialPointVelocity
-
belongs to
-
Quantity c
-
has facts
-
generalized by quantity op Velocity ni
-
description ap "Material Point Velocity in the context of the Material Point Method (MPM) refers to the velocity assigned to each material point within a simulation."@en
IRI: https://mardi4nfdi.de/mathmoddb#MaxwellEquationsModel
-
belongs to
-
Mathematical Model c
-
has facts
-
contains assumption op Classical Approximation ni
-
contains assumption op Nonrelativistic Approximation ni
-
description ap "Shalva: Given the charge density ρ(r, t) and the current density j(r, t), Maxwell's equations yield the electric and magnetic fields, E(r, t) and B(r, t). These equations are the simplest representative of a more general class of models, also referred as Maxwell's equations, where ρ(r, t) and j(r, t) should be found from certain additional relations, e.g., from the Ohm's law."@en
-
description ap "Together with the Lorentz force law, Maxwell's equations form the foundation of classical electromagnetism and optics. The equations provide a mathematical model for electric, optical, and radio technologies."@en
-
doi I D ap rstl.1865.0008 ep
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wikidata I D ap Q51501 ep
Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionOrderedMechanismwithProduct1SS
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belongs to
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Mathematical Formulation c
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has facts
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contained as formulation in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
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contains quantity op Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
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contains quantity op Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
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contains quantity op Initial Reaction Rate ni
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contains quantity op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward) ni
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contains quantity op Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
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contains quantity op Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
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contains quantity op Product Concentration ni
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contains quantity op Substrate Concentration ni
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defining formulation dp "$v_0 = \frac{V_{max,f} c_{S_1} c_{S_2}}{K_{iS_1} K_{S_2} + K_{S_2} c_{S_1} + K_{S_1} c_{S_2} + \frac{K_{iS_1} K_{S_2}}{K_{iP_1}} c_{P_1} + c_{S_1} c_{S_2} + \frac{K_{S_1}}{K_{iP_1}} c_{S_2} c_{P_1}}$"^^La Te X ep
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in defining formulation dp "$K_{S_1}$, Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
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in defining formulation dp "$K_{S_2}$, Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
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in defining formulation dp "$K_{iP_1}$, Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
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in defining formulation dp "$K_{iS_1}$, Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
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in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward)"^^La Te X ep
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in defining formulation dp "$c_{P_1}$, Product Concentration"^^La Te X ep
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in defining formulation dp "$c_{S_1}$, Substrate Concentration"^^La Te X ep
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in defining formulation dp "$c_{S_2}$, Substrate Concentration"^^La Te X ep
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in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
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is deterministic dp "true"^^boolean
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is dimensionless dp "false"^^boolean
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is dynamic dp "false"^^boolean
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is linear dp "false"^^boolean
Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 and single central Complex - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionOrderedMechanismwithProduct1SingleCCSS
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belongs to
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Mathematical Formulation c
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has facts
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contained as formulation in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 and single central Complex (Steady State Assumption) ni
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contains formulation op Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption) ni
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contains quantity op Inhibition Constant ni
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contains quantity op Initial Reaction Rate ni
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contains quantity op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism with single central Complex - Forward) ni
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contains quantity op Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption) ni
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contains quantity op Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption) ni
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contains quantity op Product Concentration ni
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contains quantity op Substrate Concentration ni
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defining formulation dp "$v_0 = \frac{V_{max,f} c_{S_1} c_{S_2}}{K_{iS_1} K_{S_2} + K_{S_2} c_{S_1} + K_{S_1} c_{S_2} + \frac{K_{iS_1} K_{S_2}}{K_{iP_1}} c_{P_1} + c_{S_1} c_{S_2} + \frac{K_{S_1}}{K_{iP_1}} c_{S_2} c_{P_1}}$"^^La Te X ep
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in defining formulation dp "$K_{S_1}$, Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption)"^^La Te X ep
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in defining formulation dp "$K_{S_2}$, Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption)"^^La Te X ep
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in defining formulation dp "$K_{iP_1}$, Inhibition Constant"^^La Te X ep
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in defining formulation dp "$K_{iS_1}$, Inhibition Constant"^^La Te X ep
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in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism with single central Complex - Forward)"^^La Te X ep
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in defining formulation dp "$c_{P_2}$, Product Concentration"^^La Te X ep
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in defining formulation dp "$c_{S_1}$, Substrate Concentration"^^La Te X ep
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in defining formulation dp "$c_{S_2}$, Substrate Concentration"^^La Te X ep
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in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
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is deterministic dp "true"^^boolean
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is dimensionless dp "false"^^boolean
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is dynamic dp "false"^^boolean
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is linear dp "false"^^boolean
Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionOrderedMechanismwithProduct2SS
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belongs to
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Mathematical Formulation c
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has facts
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contains quantity op Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
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contains quantity op Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
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contains quantity op Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
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contains quantity op Initial Reaction Rate ni
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contains quantity op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward) ni
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contains quantity op Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
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contains quantity op Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
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contains quantity op Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
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contains quantity op Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
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contains quantity op Product Concentration ni
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contains quantity op Substrate Concentration ni
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defining formulation dp "$v_0 = \frac{V_{max,f} c_{S_1} c_{S_2}}{K_{iS_1} K_{S_2} + K_{S_2} c_{S_1} + K_{S_1} c_{S_2} + \frac{K_{iS_1} K_{S_2} K_{P_1}}{K_{iP_1} K_{P_2}} c_{P_2} + c_{S_1} c_{S_2} + \frac{K_{S_2} K_{P_1}}{K_{iP_1} K_{P_2}} c_{S_1} c_{P_2} + \frac{1}{K_{iP_2}} c_{S_1} c_{S_2} c_{P_2}}$"^^La Te X ep
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in defining formulation dp "$K_{P_1}$, Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
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in defining formulation dp "$K_{P_2}$, Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
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in defining formulation dp "$K_{S_1}$, Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
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in defining formulation dp "$K_{S_2}$, Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
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in defining formulation dp "$K_{iP_1}$, Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
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in defining formulation dp "$K_{iP_2}$, Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
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in defining formulation dp "$K_{iS_1}$, Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
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in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward)"^^La Te X ep
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in defining formulation dp "$c_{P_2}$, Product Concentration"^^La Te X ep
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in defining formulation dp "$c_{S_1}$, Substrate Concentration"^^La Te X ep
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in defining formulation dp "$c_{S_2}$, Substrate Concentration"^^La Te X ep
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in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
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is deterministic dp "true"^^boolean
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is dimensionless dp "false"^^boolean
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is dynamic dp "false"^^boolean
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is linear dp "false"^^boolean
Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 and single central Complex - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionOrderedMechanismwithProduct2SingleCCSS
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belongs to
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Mathematical Formulation c
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has facts
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contains formulation op Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption) ni
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contains quantity op Inhibition Constant ni
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contains quantity op Initial Reaction Rate ni
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contains quantity op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism with single central Complex - Forward) ni
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contains quantity op Michaelis Constant ni
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contains quantity op Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption) ni
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contains quantity op Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption) ni
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contains quantity op Product Concentration ni
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contains quantity op Substrate Concentration ni
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defining formulation dp "$v_0 = \frac{V_{max,f} c_{S_1} c_{S_2}}{K_{iS_1} K_{S_2} + K_{S_2} c_{S_1} + K_{S_1} c_{S_2} + \frac{K_{iS_1} K_{S_2} K_{P_1}}{K_{iP_1} K_{P_2}} c_{P_2} + c_{S_1} c_{S_2} + \frac{K_{S_2} K_{P_1}}{K_{iP_1} K_{P_2}} c_{S_1} c_{P_2} + \frac{1}{K_{iP_2}} c_{S_1} c_{S_2} c_{P_2}}$"^^La Te X ep
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in defining formulation dp "$K_{P_1}$, Michaelis Constant"^^La Te X ep
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in defining formulation dp "$K_{P_2}$, Michaelis Constant"^^La Te X ep
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in defining formulation dp "$K_{S_1}$, Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption)"^^La Te X ep
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in defining formulation dp "$K_{S_2}$, Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption)"^^La Te X ep
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in defining formulation dp "$K_{iP_1}$, Inhibition Constant"^^La Te X ep
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in defining formulation dp "$K_{iP_2}$, Inhibition Constant"^^La Te X ep
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in defining formulation dp "$K_{iS_1}$, Inhibition Constant"^^La Te X ep
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in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism with single central Complex - Forward)"^^La Te X ep
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in defining formulation dp "$c_{P_2}$, Product Concentration"^^La Te X ep
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in defining formulation dp "$c_{S_1}$, Substrate Concentration"^^La Te X ep
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in defining formulation dp "$c_{S_2}$, Substrate Concentration"^^La Te X ep
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in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
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is deterministic dp "true"^^boolean
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is dimensionless dp "false"^^boolean
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is dynamic dp "false"^^boolean
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is linear dp "false"^^boolean
Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionOrderedMechanismwithProducts1and2SS
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belongs to
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Mathematical Formulation c
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has facts
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contained as formulation in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
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contains quantity op Equilibrium Constant (Bi Bi Reaction Ordered - Steady State Assumption) ni
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contains quantity op Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
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contains quantity op Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
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contains quantity op Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
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contains quantity op Inhibition Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
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contains quantity op Initial Reaction Rate ni
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contains quantity op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Backward) ni
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contains quantity op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward) ni
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contains quantity op Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
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contains quantity op Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
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contains quantity op Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
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contains quantity op Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
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contains quantity op Product Concentration ni
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contains quantity op Substrate Concentration ni
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defining formulation dp "$v_0 = \frac{V_{max,f} V_{max,b} (c_{S_1} c_{S_2} - \frac{c_{P_1} c_{P_2}}{K_{eq}})}{V_{max,b} K_{iS_1} K_{S_2} + V_{max,b} K_{S_2} c_{S_1} + V_{max,b} K_{S_1} c_{S_2} + \frac{V_{max,f} K_{P_1}}{K_{eq}} c_{P_2} + \frac{V_{max,f} K_{P_2}}{K_{eq}} c_{P_1} + V_{max,b} c_{S_1} c_{S_2} + \frac{V_{max,f} K_{P_1}}{K_{iS_1} K_{eq}} c_{S_1} c_{P_2} + \frac{V_{max,f}}{K_{eq}} c_{P_1} c_{P_2} + \frac{V_{max,b} K_{S_1}}{K_{iP_1}} c_{S_1} c_{P_1} + \frac{V_{max,b}}{K_{iP_2}} c_{S_1} c_{S_2} c_{P_2} + \frac{V_{max,f}}{K_{iS_2} K_{eq}} c_{S_2} c_{P_1} c_{P_2}}$"^^La Te X ep
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in defining formulation dp "$K_{P_1}$, Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
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in defining formulation dp "$K_{P_2}$, Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
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in defining formulation dp "$K_{S_1}$, Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
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in defining formulation dp "$K_{S_2}$, Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
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in defining formulation dp "$K_{eq}$, Equilibrium Constant (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
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in defining formulation dp "$K_{iP_1}$, Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
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in defining formulation dp "$K_{iP_2}$, Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
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in defining formulation dp "$K_{iS_1}$, Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
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in defining formulation dp "$K_{iS_2}$, Inhibition Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
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in defining formulation dp "$V_{max,b}$, Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Backward)"^^La Te X ep
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in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward)"^^La Te X ep
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in defining formulation dp "$c_{P_1}$, Product Concentration"^^La Te X ep
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in defining formulation dp "$c_{P_2}$, Product Concentration"^^La Te X ep
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in defining formulation dp "$c_{S_1}$, Substrate Concentration"^^La Te X ep
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in defining formulation dp "$c_{S_2}$, Substrate Concentration"^^La Te X ep
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in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
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is deterministic dp "true"^^boolean
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is dimensionless dp "false"^^boolean
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is dynamic dp "false"^^boolean
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is linear dp "false"^^boolean
Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 and single central Complex - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionOrderedMechanismwithProducts1and2SingleCCSS
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belongs to
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Mathematical Formulation c
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has facts
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contained as formulation in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 and single central Complex (Steady State Assumption) ni
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contains formulation op Equilibrium Constant (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Inhibition Constant Substrate 2 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Limiting Reaction Rate Backward (Bi Bi Reaction Ordered - Single central Complex) ni
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contains formulation op Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption) ni
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contains quantity op Concentration ni
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contains quantity op Equilibrium Constant ni
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contains quantity op Inhibition Constant ni
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contains quantity op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism with single central Complex - Forward) ni
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contains quantity op Michaelis Constant ni
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contains quantity op Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption) ni
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contains quantity op Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption) ni
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contains quantity op Reaction Rate ni
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defining formulation dp "$v_0 = \frac{V_1 V_2 (c_{S_1} c_{S_2} - \frac{c_{P_1} c_{P_2}}{K_{eq}})}{V_2 K_{iS_1} K_{S_2} + V_2 K_{S_2} c_{S_1} + V_2 K_{S_1} c_{S_2} + \frac{V_1 K_{P_1}}{K_{eq}} c_{P_2} + \frac{V_1 K_{P_2}}{K_{eq}} c_{P_1} + V_2 c_{S_1} c_{S_2} + \frac{V_1 K_{P_1}}{K_{iS_1} K_{eq}} c_{S_1} c_{P_2} + \frac{V_1}{K_{eq}} c_{P_1} c_{P_2} + \frac{V_2 K_{S_1}}{K_{iP_1}} c_{S_1} c_{P_1} + \frac{V_2}{K_{iP_2}} c_{S_1} c_{S_2} c_{P_2} + \frac{V_1}{K_{iS_2} K_{eq}} c_{S_2} c_{P_1} c_{P_2}}$"^^La Te X ep
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in defining formulation dp "$K_{P_1}$, Michaelis Constant"^^La Te X ep
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in defining formulation dp "$K_{P_2}$, Michaelis Constant"^^La Te X ep
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in defining formulation dp "$K_{S_1}$, Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption)"^^La Te X ep
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in defining formulation dp "$K_{S_2}$, Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption)"^^La Te X ep
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in defining formulation dp "$K_{eq}$, Equilibrium Constant"^^La Te X ep
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in defining formulation dp "$K_{iP_1}$, Inhibition Constant"^^La Te X ep
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in defining formulation dp "$K_{iP_2}$, Inhibition Constant"^^La Te X ep
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in defining formulation dp "$K_{iS_1}$, Inhibition Constant"^^La Te X ep
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in defining formulation dp "$K_{iS_2}$, Inhibition Constant"^^La Te X ep
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in defining formulation dp "$V_1$, Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism with single central Complex - Forward)"^^La Te X ep
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in defining formulation dp "$V_2$, Limiting Reaction Rate Backward (Bi Bi Reaction Ordered - Single central Complex)"^^La Te X ep
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in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
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in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
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in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
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in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
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in defining formulation dp "$v_0$, Reaction Rate"^^La Te X ep
Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Products 1 and 2 - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionPingPongMechanismwithProducts1and2SS
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belongs to
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Mathematical Formulation c
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has facts
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contained as formulation in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
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contains formulation op Equilibrium Constant (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Inhibition Constant Product 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Inhibition Constant Product 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Inhibition Constant Substrate 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Inhibition Constant Substrate 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Limiting Reaction Rate Backward (Bi Bi Reaction Ping Pong) ni
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contains formulation op Limiting Reaction Rate Forward (Bi Bi Reaction Ping Pong) ni
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contains formulation op Michaelis Constant Product 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Michaelis Constant Product 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Michaelis Constant Substrate 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Michaelis Constant Substrate 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
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contains quantity op Concentration ni
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contains quantity op Equilibrium Constant ni
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contains quantity op Inhibition Constant ni
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contains quantity op Michaelis Constant ni
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contains quantity op Reaction Rate ni
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defining formulation dp "$v_{0} = \frac{V_{1} V_{2} (c_{S_1} c_{S_2} - \frac{c_{P_1} c_{P_2}}{K_{eq}})}{V_{2} K_{S_2} c_{S_1} + V_{2} K_{S_1} c_{S_2} + \frac{V_{1} K_{P_2}}{K_{eq}} c_{P_2} + \frac{V_{1} K_{P_1}}{K_{eq}} c_{P_2} + V_{2} c_{S_1} c_{S_2} + \frac{V_{1} K_{P_2}}{K_{iS_1} K_{eq}} c_{S_1} c_{P_1} +\frac{V_{1}}{K_{eq}} c_{P_1} c_{P_2} + \frac{V_{2} K_{S_1}}{K_{iP_2}} c_{S_2} c_{P_2}}$"^^La Te X ep
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in defining formulation dp "$K_{P_1}$, Michaelis Constant"^^La Te X ep
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in defining formulation dp "$K_{P_2}$, Michaelis Constant"^^La Te X ep
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in defining formulation dp "$K_{S_1}$, Michaelis Constant"^^La Te X ep
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in defining formulation dp "$K_{S_2}$, Michaelis Constant"^^La Te X ep
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in defining formulation dp "$K_{eq}$, Equilibrium Constant"^^La Te X ep
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in defining formulation dp "$K_{iP_1}$, Inhibition Constant"^^La Te X ep
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in defining formulation dp "$K_{iP_2}$, Inhibition Constant"^^La Te X ep
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in defining formulation dp "$K_{iS_1}$, Inhibition Constant"^^La Te X ep
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in defining formulation dp "$K_{iS_2}$, Inhibition Constant"^^La Te X ep
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in defining formulation dp "$V_{1}$, Reaction Rate"^^La Te X ep
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in defining formulation dp "$V_{2}$, Reaction Rate"^^La Te X ep
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in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
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in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
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in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
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in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
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in defining formulation dp "$v_0$, Reaction Rate"^^La Te X ep
Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionTheorellChanceMechanismwithProduct1SS
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belongs to
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Mathematical Formulation c
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has facts
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contained as formulation in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
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contains formulation op Inhibition Constant Product 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Inhibition Constant Substrate 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Inhibition Constant Substrate 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Limiting Reaction Rate Backward (Bi Bi Reaction Theorell-Chance) ni
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contains formulation op Limiting Reaction Rate Forward (Bi Bi Reaction Theorell-Chance) ni
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contains formulation op Michaelis Constant Product 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Michaelis Constant Product 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Michaelis Constant Substrate 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Michaelis Constant Substrate 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
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contains quantity op Concentration ni
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contains quantity op Inhibition Constant ni
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contains quantity op Michaelis Constant ni
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contains quantity op Reaction Rate ni
-
defining formulation dp "$v_{0} = \frac{V_1 c_{S_1} c_{S_2}}{K_{iS_1} K_{S_2} + K_{S_2} c_{S_1} + K_{S_1} c_{S_2} + c_{S_1} c_{S_2} + \frac{K_{S_1} K_{iS_2}}{K_{iP_1}} c_{P_1} + \frac{K_{S_2}}{K_{iP_1}} c_{S_1} c_{P_1}}$"^^La Te X ep
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in defining formulation dp "$K_{S_1}$, Michaelis Constant"^^La Te X ep
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in defining formulation dp "$K_{S_2}$, Michaelis Constant"^^La Te X ep
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in defining formulation dp "$K_{iP_1}$, Inhibition Constant"^^La Te X ep
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in defining formulation dp "$K_{iS_1}$, Inhibition Constant"^^La Te X ep
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in defining formulation dp "$K_{iS_2}$, Inhibition Constant"^^La Te X ep
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in defining formulation dp "$V_{1}$, Reaction Rate"^^La Te X ep
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in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
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in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
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in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
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in defining formulation dp "$v_0$, Reaction Rate"^^La Te X ep
Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Products 1 and 2 - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionTheorellChanceMechanismwithProducts1and2SS
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belongs to
-
Mathematical Formulation c
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has facts
-
contained as formulation in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
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contains formulation op Equilibrium Constant (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Inhibition Constant Product 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Inhibition Constant Substrate 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Limiting Reaction Rate Backward (Bi Bi Reaction Theorell-Chance) ni
-
contains formulation op Limiting Reaction Rate Forward (Bi Bi Reaction Theorell-Chance) ni
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contains formulation op Michaelis Constant Product 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Michaelis Constant Product 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Michaelis Constant Substrate 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
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contains formulation op Michaelis Constant Substrate 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
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contains quantity op Concentration ni
-
contains quantity op Equilibrium Constant ni
-
contains quantity op Inhibition Constant ni
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contains quantity op Michaelis Constant ni
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contains quantity op Reaction Rate ni
-
defining formulation dp "$v_{0} = \frac{V_{1} V_{2} (c_{S_1} c_{S_2} - \frac{c_{P_1} c_{P_2}}{K_{eq}})}{V_2 K_{iS_1} K_{S_2} + V_2 K_{S_2} c_{S_1} + V_2 K_{S_1} c_{S_2} + \frac{V_1 K_{P_2}}{K_{eq}} c_{P_1} + \frac{V_1 K_{P_1}}{K_{eq}} c_{P_2} + V_2 c_{S_1} c_{S_2} + \frac{V_1 K_{P_2}}{K_{iS_1} K_{eq}} c_{S_1} c_{P_1} + \frac{V_2 K_{S_1}}{K_{iP_2}} c_{S_2} c_{P_2} + \frac{V_1}{K_{eq}} c_{P_1} c_{P_2}}$"^^La Te X ep
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in defining formulation dp "$K_{P_1}$, Michaelis Constant"^^La Te X ep
-
in defining formulation dp "$K_{P_2}$, Michaelis Constant"^^La Te X ep
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in defining formulation dp "$K_{S_1}$, Michaelis Constant"^^La Te X ep
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in defining formulation dp "$K_{S_2}$, Michaelis Constant"^^La Te X ep
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in defining formulation dp "$K_{eq}$, Equilibrium Constant"^^La Te X ep
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in defining formulation dp "$K_{iP_2}$, Inhibition Constant"^^La Te X ep
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in defining formulation dp "$K_{iS_1}$, Inhibition Constant"^^La Te X ep
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in defining formulation dp "$V_{1}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$V_{2}$, Reaction Rate"^^La Te X ep
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in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$v_0$, Reaction Rate"^^La Te X ep
Michaelis Menten Equation (Uni Uni Reaction with Product - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforUniUniReactionwithProductSteadyStateAssumption
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belongs to
-
Mathematical Formulation c
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has facts
-
contains quantity op Initial Reaction Rate ni
-
contains quantity op Limiting Reaction Rate (Uni Uni Reaction - Backward) ni
-
contains quantity op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
-
contains quantity op Michaelis Constant Product (Uni Uni Reaction - Steady State Assumption) ni
-
contains quantity op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
-
contains quantity op Product Concentration ni
-
contains quantity op Substrate Concentration ni
-
defining formulation dp "$v_{0}=\frac{\frac{V_{max,f}}{K_{S}}*c_{S}-\frac{V_{max,b}}{K_{P}}*c_{P}}{1+\frac{c_{S}}{K_{S}}+\frac{c_{P}}{K_{P}}}$"^^La Te X ep
-
in defining formulation dp "$K_{P}$, Michaelis Constant Product (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{S}$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$V_{max,b}$, Limiting Reaction Rate (Uni Uni Reaction - Backward)"^^La Te X ep
-
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
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in defining formulation dp "$c_P$, Product Concentration"^^La Te X ep
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in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
-
in defining formulation dp "$v_{0}$, Initial Reaction Rate"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "false"^^boolean
-
is dynamic dp "false"^^boolean
-
is linear dp "false"^^boolean
Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationUniUniReactionwithoutProductandMixedPartialInhibitionSteadyStateAssumption
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belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
contains quantity op Inhibitor Concentration ni
-
contains quantity op Initial Reaction Rate ni
-
contains quantity op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
-
contains quantity op Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward) ni
-
contains quantity op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
-
contains quantity op Substrate Concentration ni
-
contains quantity op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
defining formulation dp "$v_0 = \frac{(V_{max,f} + \frac{V_{max,I,f} c_I}{K_{iu}}) c_S}{K_S (1 + \frac{c_I}{K_{ic}}) + (1 + \frac{c_I}{K_{iu}}) c_S}$"^^La Te X ep
-
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{ic}$, Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$K_{iu}$, Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$V_{max,I,f}$, Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward)"^^La Te X ep
-
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
-
in defining formulation dp "$c_I$, Inhibitor Concentration"^^La Te X ep
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in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
-
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "false"^^boolean
-
is dynamic dp "false"^^boolean
-
is linear dp "false"^^boolean
Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationUniUniReactionwithoutProductandNonCompetitivePartialInhibitionSteadyStateAssumption
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belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
contains quantity op Inhibitor Concentration ni
-
contains quantity op Initial Reaction Rate ni
-
contains quantity op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
-
contains quantity op Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward) ni
-
contains quantity op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
-
contains quantity op Substrate Concentration ni
-
contains quantity op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
similar to formulation op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Steady State Assumption) ni
-
defining formulation dp "$v_0 = \frac{(V_{max,f} + \frac{V_{max,I,f} c_I}{K_{iu}}) c_S}{K_S (1 + \frac{c_I}{K_{ic}}) + (1 + \frac{c_I}{K_{iu}}) c_S}$"^^La Te X ep
-
in defining formulation dp "$K_S$,Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{ic}$,Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$K_{iu}$,Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$V_{max,I,f}$, Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward)"^^La Te X ep
-
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
-
in defining formulation dp "$c_I$,Inhibitor Concentration"^^La Te X ep
-
in defining formulation dp "$c_S$,Substrate Concentration"^^La Te X ep
-
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "false"^^boolean
-
is dynamic dp "false"^^boolean
-
is linear dp "false"^^boolean
Michaelis Menten Equation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationUniUniReactionwithoutProductandUncompetitivePartialInhibitionSteadyStateAssumption
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Inhibitor Concentration ni
-
contains quantity op Initial Reaction Rate ni
-
contains quantity op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
-
contains quantity op Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward) ni
-
contains quantity op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
-
contains quantity op Substrate Concentration ni
-
contains quantity op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
defining formulation dp "$v_0 = \frac{(V_{max,f} + \frac{V_{max,I,f}*c_I}{K_{iu}}) c_S}{K_S + (1 + \frac{c_I}{K_{iu}}) c_S}$"^^La Te X ep
-
in defining formulation dp "$K_S$,Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{iu}$,Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$V_{max,I,f}$, Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward)"^^La Te X ep
-
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
-
in defining formulation dp "$c_I$,Inhibitor Concentration"^^La Te X ep
-
in defining formulation dp "$c_S$,Substrate Concentration"^^La Te X ep
-
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "false"^^boolean
-
is dynamic dp "false"^^boolean
-
is linear dp "false"^^boolean
IRI: https://mardi4nfdi.de/mathmoddb#MobilityOfElectrons
-
belongs to
-
Quantity c
-
has facts
-
description ap "For use in semiconductor physics"@en
IRI: https://mardi4nfdi.de/mathmoddb#MobilityOfHoles
-
belongs to
-
Quantity c
-
has facts
-
description ap "For use in semiconductor physics"@en
Monodomain Equation for Action Potential Propagationni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Monodomain_Equation_for_Action_Propagation_Potential
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Action Potential Propagation Model ni
-
contains quantity op Effective Conductivity ni
-
contains quantity op Ion Current ni
-
contains quantity op Membrane Capacitance ni
-
contains quantity op Time ni
-
contains quantity op Transmembrane Potential ni
-
defining formulation dp "$$\frac{\partial V^\text{f}_\text{m}}{\partial t} = \frac{1}{C^\text{f}_\text{m}} \left( \frac{1}{A_\text{m}} \sigma_{\text{eff}} \frac{\partial^2 V^{\text{f}}_{\text{m}}}{\partial s^2} - I_\text{ion} (V^{\text{f}}_{\text{m}}, \mathbf{y}) + S(V^{\text{s}}_{\text{m}})\right)~ \text{in $\Omega_{f}$}$$"^^La Te X ep
-
in defining formulation dp "$C^{\text{f}}_{\text{m}}$, Membrane Capacitance"^^La Te X ep
-
in defining formulation dp "$I_{\text{ion}}$, Ion Current"^^La Te X ep
-
in defining formulation dp "$V^{\text{f}}_{\text{m}}$, Transmembrane Potential"^^La Te X ep
-
in defining formulation dp "$\sigma_{\text{eff}}$, Effective Conductivity"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
IRI: https://mardi4nfdi.de/mathmoddb#Motor_Neuron_Pool_ODE_System
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belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Motor Neuron Pool Model ni
-
contains quantity op Coupling Current ni
-
contains quantity op Fiber Contraction Velocity ni
-
contains quantity op Fiber Stretch ni
-
contains quantity op Ion Current ni
-
contains quantity op Membrane Capacitance ni
-
contains quantity op Neural Input ni
-
contains quantity op Sensory Organ Current ni
-
contains quantity op Time ni
-
contains quantity op Transmembrane Potential ni
-
defining formulation dp "$\begin{align} \frac{\text{d}V^{\text{d}}_{\text{m}}}{\text{d}t} &= \frac{1}{C^{\text{d}}_{\text{m}}}\left(-I^{\text{d}}_{\text{ion}}(V^{\text{d}}_{\text{m}}) - I^{\text{d}}_{\text{C}}(V^{\text{d}}_{\text{m}},V^{\text{s}}_{\text{m}}) \right) \\ \frac{\text{d}V^{\text{s}}_{\text{m}}}{\text{d}t} &= \frac{1}{C^{\text{s}}_{\text{m}}}\left(-I^{\text{s}}_{\text{ion}}(V^{\text{s}}_{\text{m}}) - I^{\text{s}}_{\text{C}}(V^{\text{d}}_{\text{m}},V^{\text{s}}_{\text{m}}) + I_{\text{spindle}}(\lambda_{\text{f}}, \dot{\lambda}_\text{f}) + I_\text{ext} \right) \\ \end{align}$"^^La Te X ep
-
in defining formulation dp "$t$, Time"
-
in defining formulation dp "$C_{\text{m}}$, Membrane Capacitance"^^La Te X ep
-
in defining formulation dp "$I_{\text{C}}$, Coupling Current"^^La Te X ep
-
in defining formulation dp "$I_{\text{ext}}$, Neural Input"^^La Te X ep
-
in defining formulation dp "$I_{\text{ion}}$, Ion Current"^^La Te X ep
-
in defining formulation dp "$I_{\text{spindle}}$, Sensory Organ Current"^^La Te X ep
-
in defining formulation dp "$V_{\text{m}}$, Transmembrane Potential"^^La Te X ep
-
in defining formulation dp "$\lambda_{\text{f}}$, Fibre Contraction Velocity"^^La Te X ep
-
in defining formulation dp "$\lambda_{\text{f}}$, Fibre Stretch"^^La Te X ep
-
description ap "Transmembrane potentials in the soma and the dendrite compartments."@en
IRI: https://mardi4nfdi.de/mathmoddb#Muscle_Movement
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belongs to
-
Research Problem c
-
has facts
-
wikidata I D ap "https://www.wikidata.org/wiki/Q127006"@en
IRI: https://mardi4nfdi.de/mathmoddb#NearFieldRadiation
-
belongs to
-
Computational Task c
-
has facts
-
applies model op Maxwell Equations Model ni
-
description ap "The near field is a region of the electromagnetic (EM) field around an object, such as a transmitting antenna, or the result of radiation scattering off an object. Non-radiative near-field behaviors dominate close to the antenna or scatterer."@en
-
wikidata I D ap Q6984336 ep
Non-Competitive Enzyme Inhibition Coupling Condition (Uni Uni Reaction)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#NoncompetitiveEnzymeInhibitionCouplingConditionUniUniReaction
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belongs to
-
Mathematical Formulation c
-
has facts
-
defining formulation dp "$\begin{align} k_{1} &= k_{5} \\ k_{-1} &= k_{-5} \\ k_{-3} &= k_{-4}\\ k_{3} &= k_{4} \\ K_{ic} &= K_{iu}\\ \end{align}$"^^La Te X ep
-
in defining formulation dp "$K_{ic}$,Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$K_{iu}$,Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$k_1$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_3$,Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_4$,Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_5$,Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-1}$,Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-3}$,Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-4}$,Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-5}$,Reaction Rate Constant"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "false"^^boolean
-
is dynamic dp "false"^^boolean
-
is linear dp "false"^^boolean
Normal Interaction Force Of Two Particlesni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Normal_Interaction_Force_Of_Two_Particles
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belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Linear Discrete Element Method ni
-
contains quantity op Young Modulus ni
-
defining formulation dp "$\boldsymbol F^N_{ij}=\left(k_{ij}^N\delta_{ij}+d_{ij}^N\dot{\delta}_{ij}\right)\boldsymbol n_{ij}$ $\delta_{ij}=\langle \boldsymbol x_i - \boldsymbol x_j, \boldsymbol n_{ij}\rangle$ $\delta_{ij}=\langle \boldsymbol v_i - \boldsymbol v_j, \boldsymbol n_{ij}\rangle$ $\boldsymbol n_{ij} = \frac{\boldsymbol x_i - \boldsymbol x_j}{\lVert \boldsymbol x_i - \boldsymbol x_j \rVert}$ $k^N_{ij}=E_N \pi r_{ij} / 2$ $d_{ij}^N=D_N 2 \sqrt{k^N_{ij}m_{ij}}$ $m_{ij}=\frac{m_im_j}{m_i + m_j}$"^^La Te X ep
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in defining formulation dp "$D_N$, control parameter of critical damping"^^La Te X ep
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in defining formulation dp "$E_N$, Young Modulus"^^La Te X ep
-
in defining formulation dp "$\boldsymbol F^N_{ij}$, total normal force between particles $i$ and $j$"^^La Te X ep
-
in defining formulation dp "$\boldsymbol v_i\in \mathbb R^3$, velocity of particle $i$ $\boldsymbol v_j\in \mathbb R^3$, velocity of particle $j$"^^La Te X ep
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in defining formulation dp "$\boldsymbol x_i\in \mathbb R^3$, position of center of gravity for particle $i$ $\boldsymbol x_j\in \mathbb R^3$, position of center of gravity for particle $j$"^^La Te X ep
-
in defining formulation dp "$r_{ij}=(r_i+r_j)/2$, mean radius of particles $i$ and $j$"^^La Te X ep
IRI: https://mardi4nfdi.de/mathmoddb#NormalModeCoordinate
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belongs to
-
Quantity c
-
has facts
-
description ap "Normal coordinates refer to the positions of atoms away from their equilibrium positions, wrt a normal mode of vibration. Formally, normal modes are determined by solving a secular determinant, and then the normal coordinates can be expressed as a summation over the cartesian coordinates (over the atom positions). The normal modes diagonalize the matrix governing the molecular vibrations."@en
-
wikidata I D ap Q112730947 ep
IRI: https://mardi4nfdi.de/mathmoddb#NumberOfParticles
-
belongs to
-
Quantity c
-
has facts
-
generalized by quantity op Integer Number (Dimensionless) ni
-
is dimensionless dp "true"^^boolean
-
description ap "e.g. the number of atoms in a molecule"@en
Oosterhout (2024) Finite-strain poro-visco-elasticity with degenerate mobilityni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Oosterhout_2024_Finite-strain_poro-visco-elasticity_with_degenerate_mobility
-
belongs to
-
Publication c
-
has facts
-
doi I D ap zamm.202300486 ep
IRI: https://mardi4nfdi.de/mathmoddb#OptimalControlCost
-
belongs to
-
Quantity c
-
has facts
-
description ap "Minimizes the cost of the control of a system, e.g. minimize the fluence of a laser field"@en
IRI: https://mardi4nfdi.de/mathmoddb#OptimalControlPenaltyFactor
-
belongs to
-
Quantity c
-
has facts
-
description ap "In optrimal control theory, a penalty factor can be used to balance between the two objectives: maximizing the target function[al] versus minimizing the cost function[al]"@en
IRI: https://mardi4nfdi.de/mathmoddb#OptimalControlTarget
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belongs to
-
Quantity c
-
has facts
-
description ap "Maximize the quadratic output of a given control system"@en
IRI: https://mardi4nfdi.de/mathmoddb#OriginDestinationData
-
belongs to
-
Quantity c
IRI: https://mardi4nfdi.de/mathmoddb#PairFunction
-
belongs to
-
Quantity c
-
has facts
-
description ap "Non-negative pair function used to weight interaction between two individuals, e.g., placing exponentially more weight on close-by individuals or having interactions irrespective of the opinion distance between individuals."@en
Partial Mean Field Opinion Modelni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#PartialMeanFieldOpinionModel
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belongs to
-
Mathematical Model c
-
has facts
-
models op Opinion Dynamics ni
-
description ap "For situations with many individuals but few influencers and media, one can derive the mean-field limit by a partial differential equation (PDE) that describes the opinion dynamics of individuals in the limit of infinitely many individuals but is usually already a good approximation to the dynamics for finitely many individuals. Since here the number of influencers and media is still small and finite, their dynamics are still best described by SDEs but now coupled to PDEs for the evolution of the opinion distributions of individuals."@en
IRI: https://mardi4nfdi.de/mathmoddb#ParticleFluxDensity
-
belongs to
-
Quantity c
-
has facts
-
description ap "Particle Flux Density"@en
-
alt Label ap "Fluence Rate"@en
-
alt Label ap "Particle Fluence Rate"@en
-
alt Label ap "Time Derivative of Particle Fluence"@en
-
wikidata I D ap Q98497410 ep
IRI: https://mardi4nfdi.de/mathmoddb#ParticleNumberDensity
-
belongs to
-
Quantity c
-
has facts
-
is dimensionless dp "true"^^boolean
-
wikidata I D ap Q98601569 ep
Particles In Electromagnetic Fieldsni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#ParticlesInElectroMagneticFields
-
belongs to
-
Research Problem c
-
has facts
-
contained in field op Electromagnetism ni
IRI: https://mardi4nfdi.de/mathmoddb#HybridPDEODESEIRModel
-
belongs to
-
Mathematical Model c
-
has facts
-
models op Spreading of Infectious Diseases ni
-
description ap "Spatial spreading model of SEIR(Susceptible, Exposed, Infectious, and Removed) type in a domain $\Omega \subset \mathbb{R}^2$ modeling both the SEIR dynamics and spatial diffusion of infectious individuals. Employing Partial differential equations."@en
IRI: https://mardi4nfdi.de/mathmoddb#PeriodicBoundaryConditions
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belongs to
-
Mathematical Formulation c
-
has facts
-
description ap "When an object passes through one side of the unit cell, it re-appears on the opposite side with the same velocity. In topological terms, the space made by one-dimensional PBCs can be thought of as being mapped onto a circle. The space made by two-dimensional PBCs can be thought of as being mapped onto a torus."@en
-
wikidata I D ap Q2992284 ep
IRI: https://mardi4nfdi.de/mathmoddb#PermittivityDielectric
-
belongs to
-
Quantity c
-
has facts
-
description ap "In electromagnetism, the absolute permittivity, often simply called permittivity is a measure of the electric polarizability of a dielectric material. It is given as the product of the vacuum dielectric permittivity and the relative permittivity of the material. Permittivities may be complex and frequency-dependent."@en
-
qudt I D ap Permittivity ep
-
wikidata I D ap Q211569 ep
IRI: https://mardi4nfdi.de/mathmoddb#PlanckConstant
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belongs to
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Quantity c
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has facts
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description ap "a physical constant that is the quantum of action in quantum mechanics. The Planck constant was first described as the proportionality constant between the energy of a photon and the frequency of its associated electromagnetic wave."@en
-
qudt I D ap Planck Constant ep
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wikidata I D ap Q122894 ep
Poisson Equation For The Electric Potentialni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#PoissonEquationForTheElectricPotential
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belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Density Of Electrons ni
-
contains quantity op Density Of Holes ni
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contains quantity op Doping Profile ni
-
contains quantity op Electric Potential ni
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contains quantity op Elementary Charge ni
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contains quantity op Fermi Potential For Electrons ni
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contains quantity op Fermi Potential For Holes ni
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contains quantity op Permittivity (Dielectric) ni
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defining formulation dp "$-\nabla\cdot\left(\epsilon_s\nabla\psi\right) = q\left(C+p(\psi,\phi_p)-n(\psi,\phi_n)\right)$"^^La Te X ep
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in defining formulation dp "$C$, Doping Profile"^^La Te X ep
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in defining formulation dp "$\epsilon_s$, Permittivity (Dielectric)"^^La Te X ep
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in defining formulation dp "$\phi_n$, Fermi Potential For Electrons"^^La Te X ep
-
in defining formulation dp "$\phi_p$, Fermi Potential For Holes"^^La Te X ep
-
in defining formulation dp "$\psi$, Electric Potential"^^La Te X ep
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in defining formulation dp "$n$, Density Of Electrons"^^La Te X ep
-
in defining formulation dp "$p$, Density Of Holes"^^La Te X ep
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in defining formulation dp "$q$, Elementary Charge"^^La Te X ep
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is dynamic dp "false"^^boolean
-
is space-continuous dp "true"^^boolean
IRI: https://mardi4nfdi.de/mathmoddb#PopulationDensity
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belongs to
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Quantity c
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has facts
-
description ap "Population density is a measure of the number of individuals per unit area, typically expressed as the number of individuals per square kilometer. It is used to study human and animal populations for various administrative and scientific purposes."@en
Poro-Visco-Elastic (Neumann Boundary)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#PoroViscoElasticNeumannBoundary
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belongs to
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Mathematical Formulation c
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has facts
-
contained as boundary condition in op Poro-Visco-Elastic Model ni
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contains quantity op Concentration ni
-
contains quantity op Free Energy Density ni
-
contains quantity op Mechanical Deformation ni
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contains quantity op Spatial Variable ni
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contains quantity op Surface Force Density ni
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contains quantity op Unit Normal Vector ni
-
contains quantity op Viscous Dissipation Potential ni
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generalized by formulation op Neumann Boundary Condition ni
-
defining formulation dp "$(\partial_{\nabla \chi} \Phi(x,\nabla\chi(t,x),c(t,x)) + \partial_{\nabla\dot\chi}\zeta(x,\nabla\dot\chi(t,x),\nabla\chi(t,x),c(t,x)))\nu - \nabla_s\cdot (\partial_{D^2\chi} H(x,D^2\chi(t,x))\nu) = g(t,x)$"^^La Te X ep
-
in defining formulation dp "$\Phi$, Free Energy Density"^^La Te X ep
-
in defining formulation dp "$\chi$, Mechanical Deformation"^^La Te X ep
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in defining formulation dp "$\nu$, Unit Normal Vector"^^La Te X ep
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in defining formulation dp "$\zeta$, Viscous Dissipation Potential"^^La Te X ep
-
in defining formulation dp "$c$, Concentration"^^La Te X ep
-
in defining formulation dp "$g$, Surface Force Density"^^La Te X ep
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in defining formulation dp "$x$, Spatial Variable"^^La Te X ep
Poro-Visco-Elastic Diffusion Boundary Conditionni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#PoroViscoElasticDiffusionBoundaryCondition
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belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op External Chemical Potential ni
-
contains quantity op Fluid Intrinsic Permeability (Porous Medium) ni
-
contains quantity op Hydraulic Conductivity ni
-
contains quantity op Mechanical Deformation ni
-
defining formulation dp "$M(\nabla\chi,c)\nabla\partial_c\Phi(x,\nabla\chi,c)\cdot \nu = \kappa(x)(\mu_e(t,x)-\partial_c\Phi(x,\nabla\chi,c))$"^^La Te X ep
-
in defining formulation dp "$M$, Hydraulic Conductivity"^^La Te X ep
-
in defining formulation dp "$\chi$, Mechanical Deformation"^^La Te X ep
-
in defining formulation dp "$\kappa$, Fluid Intrinsic Permeability (Porous Medium)"^^La Te X ep
-
in defining formulation dp "$\mu$, External Chemical Potential"^^La Te X ep
-
in defining formulation dp "$c$, Concentration"^^La Te X ep
Poro-Visco-Elastic Diffusion Equationni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#PoroViscoElasticDiffusionEquation
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belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Free Energy Density ni
-
contains quantity op Hydraulic Conductivity ni
-
contains quantity op Mechanical Deformation ni
-
contains quantity op Time ni
-
generalizes formulation op Fick Equation ni
-
defining formulation dp "$\dot c(t,x) = - \nabla\cdot(M(x,\nabla\chi(t,x),c(t,x))\nabla\partial_c\Phi(x,\nabla \chi(t,x),c(t,x)))$"^^La Te X ep
-
in defining formulation dp "$M$, Hydraulic Conductivity"^^La Te X ep
-
in defining formulation dp "$\Phi$, Free Energy Density"^^La Te X ep
-
in defining formulation dp "$\chi$, Mechanical Deformation"^^La Te X ep
-
in defining formulation dp "$c$, Concentration"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
IRI: https://mardi4nfdi.de/mathmoddb#PoroViscoElasticModel
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belongs to
-
Mathematical Model c
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has facts
-
models op Poro-Visco-Elastic Evolution ni
-
is deterministic dp "true"^^boolean
-
is space-continuous dp "true"^^boolean
-
is time-continuous dp "true"^^boolean
-
description ap "The elastic stresses are given via the derivative of a free energy density function, the viscous stresses are of Kelvin-Voigt type and formulated in terms of a dissipation potental. The evolution of the concentration is given via a diffusion equation that is pulled-back to the reference configuration. The mobility law depends nonlinearly on the deformation gradient and the concentration itself."@en
-
description ap "The finite mechanical deformation is quasistatic and is formulated in the Lagrangian frame. The total stress consists of elastic and viscous stresses. Moreover, a second-order hyper-stress regularization is taken into account."@en
-
doi I D ap zamm.202300486 ep
Poro-Visco-Elastic Quasistatic Equationni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#PoroViscoElasticQuasistaticEquation
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belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Poro-Visco-Elastic Model ni
-
contains quantity op Concentration ni
-
contains quantity op External Force Density ni
-
contains quantity op Free Energy Density ni
-
contains quantity op Hyperstress Potential ni
-
contains quantity op Mechanical Deformation ni
-
contains quantity op Spatial Variable ni
-
contains quantity op Time ni
-
contains quantity op Viscous Dissipation Potential ni
-
defining formulation dp "$-\nabla\cdot(\partial_{\nabla \chi} \Phi(x,\nabla\chi(t,x),c(t,x)) + \partial_{\nabla\dot\chi}\zeta(x,\nabla\dot\chi(t,x),\nabla\chi(t,x),c(t,x)) - \nabla\cdot \partial_{D^2\chi} H(x,D^2\chi(t,x)))=f(t,x)$"^^La Te X ep
-
in defining formulation dp "$H$, Hyperstress Potential"^^La Te X ep
-
in defining formulation dp "$\Phi$, Free Energy Density"^^La Te X ep
-
in defining formulation dp "$\chi$, Mechanical Deformation"^^La Te X ep
-
in defining formulation dp "$\zeta$, Viscous Dissipation Potential"^^La Te X ep
-
in defining formulation dp "$c$, Concentration"^^La Te X ep
-
in defining formulation dp "$f$, External Force Density"^^La Te X ep
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in defining formulation dp "$t$, Time"^^La Te X ep
-
in defining formulation dp "$x$, Spatial Variable"^^La Te X ep
IRI: https://mardi4nfdi.de/mathmoddb#ProbabilityDistribution
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belongs to
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Quantity c
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has facts
-
description ap "mathematical function that describes the probability of occurrence of different possible outcomes in a (real world or statistical computer) experiment"@en
-
alt Label ap "Probability Density"@en
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wikidata I D ap Q200726 ep
IRI: https://mardi4nfdi.de/mathmoddb#PTNLine
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belongs to
-
Quantity c
-
has facts
-
wikidata I D ap "https://www.wikidata.org/wiki/Q125209036"
Quantum Angular Momentum Operatorni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#QuantumAngularMomentumOperator
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belongs to
-
Quantity c
-
has facts
-
generalized by quantity op Quantum Mechanical Operator ni
-
description ap "In quantum mechanics, the angular momentum operator is one of several related operators analogous to classical angular momentum. The angular momentum operator plays a central role in the theory of atomic and molecular physics and other quantum problems involving rotational symmetry."@en
-
wikidata I D ap Q1190143 ep
IRI: https://mardi4nfdi.de/mathmoddb#QuantumDampingRate
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belongs to
-
Quantity c
-
has facts
-
generalized by quantity op Reaction Rate Constant ni
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description ap "Quantum damping rates can be used - together with quantum jump operators - to describe the dissipation and/or decoherence of the quantum dynamics in a Lindblad equation (for open quantum systems)"@en
-
alt Label ap "Dissipative Transition Rate"@en
Quantum Hamiltonian (Symmetric Top)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#QuantumHamiltonianSymmetricTop
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belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Quantum Conditional Quasi-Solvability ni
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contains quantity op Quantum Angular Momentum Operator ni
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contains quantity op Quantum Hamiltonian Operator ni
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contains quantity op Rotational Constant ni
-
generalizes formulation op Quantum Hamiltonian (Linear Rotor) ni
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defining formulation dp "$\hat{H}=A\hat{J_A}^2 + B\hat{J_B}^2 + C\hat{J_C}^2$"^^La Te X ep
-
in defining formulation dp "$A$, Rotational Constant"^^La Te X ep
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in defining formulation dp "$B$, Rotational Constant"^^La Te X ep
-
in defining formulation dp "$C$, Rotational Constant"^^La Te X ep
-
in defining formulation dp "$J_A$, Quantum Angular Momentum Operator"^^La Te X ep
-
in defining formulation dp "$J_B$, Quantum Angular Momentum Operator"^^La Te X ep
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in defining formulation dp "$J_C$, Quantum Angular Momentum Operator"^^La Te X ep
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in defining formulation dp "$\hat{H}$, Quantum Hamiltonian Operator"^^La Te X ep
-
description ap "A symmetric top is a molecule in which two moments of inertia are the same. By definition a symmetric top must have a 3-fold or higher order rotation axis. In practice, spectroscopists divide molecules into two classes of symmetric tops: Oblate symmetric tops (saucer or disc shaped), e.g., C6H6, and Prolate symmetric tops (rugby football, or cigar shaped), e.g. CH3Cl."@en
-
wikidata I D ap Q904380 ep
IRI: https://mardi4nfdi.de/mathmoddb#QuantumKineticOperator
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belongs to
-
Quantity c
-
has facts
-
description ap "In quantum mechanics, this is the operator representing the kinetic energy of a quantum system. Typically, a function of the momenta of the particles. Hence, a derivative operator"@en
IRI: https://mardi4nfdi.de/mathmoddb#QuantumLindbladEquation
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belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Quantum Model (Open System) ni
-
contains initial condition op Initial Quantum Density ni
-
contains quantity op Planck Constant ni
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contains quantity op Quantum Damping Rate ni
-
contains quantity op Quantum Density Operator ni
-
contains quantity op Quantum Hamiltonian Operator ni
-
contains quantity op Quantum Jump Operator ni
-
contains quantity op Time ni
-
defining formulation dp "$\frac{\mathrm d}{\mathrm{d}t}\rho=-\frac{\mathrm i}\hbar[H,\rho]+\sum _{i=1}^{N^2-1}\gamma_i\left(L_i\rho L_i^\dagger-\frac12[L_i^\dagger L_i,\rho]_+\right)$"^^La Te X ep
-
in defining formulation dp "$H$, Quantum Hamiltonian Operator"^^La Te X ep
-
in defining formulation dp "$L$, Quantum Jump Operator"^^La Te X ep
-
in defining formulation dp "$[\cdot,\cdot]_+$, anti-commutator"^^La Te X ep
-
in defining formulation dp "$\gamma > 0$, Quantum Damping Rate"^^La Te X ep
-
in defining formulation dp "$\hbar$, Planck Constant"^^La Te X ep
-
in defining formulation dp "$\rho$, Quantum Density Operator"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
-
is time-continuous dp "true"^^boolean
-
description ap "Markovian quantum master equation for the evolution of quantum mechanical density matrices (pure or mixed states). It generalizes the Schrödinger equation to open quantum systems; that is, systems in contacts with their surroundings. The resulting dynamics is no longer unitary, but still satisfies the property of being trace-preserving and completely positive for any initial condition"@en
-
alt Label ap "Gorini–Kossakowski–Sudarshan–Lindblad Equation"@en
-
wikidata I D ap Q4476520 ep
IRI: https://mardi4nfdi.de/mathmoddb#QuantumPotentialOperator
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belongs to
-
Quantity c
-
has facts
-
description ap "In quantum mechanics, this is the operator representing the potential energy of a quantum system. Typically, a function of the positions of the particles. Hence, a multiplicative operator"@en
IRI: https://mardi4nfdi.de/mathmoddb#QuantumStateVector
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belongs to
-
Quantity c
-
has facts
-
description ap "Abstract (Dirac) notation as a quantum state or wave function in coordinate representation"@en
-
wikidata I D ap Q230883 ep
IRI: https://mardi4nfdi.de/mathmoddb#RateOfAging
-
belongs to
-
Quantity c
Rate Of Change Of Population Density Fraction Of Exposed PDEni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#RateOfChangeOfPopulationDensityFractionOfExposedPDE
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belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op PDE SEIR Model ni
-
contains quantity op Allee Threshold ni
-
contains quantity op Asymptomatic Infection Rate ni
-
contains quantity op Asymptomatic Recovery Rate ni
-
contains quantity op Diffusion Coefficient for SEIR Model ni
-
contains quantity op Fraction Of Population Density Of Exposed ni
-
contains quantity op Fraction Of Population Density Of Infectious ni
-
contains quantity op Fraction Of Population Density Of Susceptibles ni
-
contains quantity op Population Density ni
-
contains quantity op Rate Of Becoming Infectious ni
-
contains quantity op Symptomatic Infection Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\partial_t e =\operatorname{div}(D \nabla e)+\left(1-\frac{A}{n+n_0}\right) s\left(\beta_e e+\beta_i i\right)-\sigma e-\phi_e e $"^^La Te X ep
-
in defining formulation dp "$A$, Allee Threshold"^^La Te X ep
-
in defining formulation dp "$D$, Diffusion Coefficient for SEIR Model"^^La Te X ep
-
in defining formulation dp "$\beta_e$, Asymptomatic Infection Rate"^^La Te X ep
-
in defining formulation dp "$\beta_i$, Symptomatic Infection Rate"^^La Te X ep
-
in defining formulation dp "$\phi_e$, Asymptomatic Recovery Rate"^^La Te X ep
-
in defining formulation dp "$\sigma$, Rate Of Becoming Infectious"^^La Te X ep
-
in defining formulation dp "$e$, Fraction Of Population Density Of Exposed"^^La Te X ep
-
in defining formulation dp "$i$, Fraction Of Population Density Of Infectious"^^La Te X ep
-
in defining formulation dp "$n$, Population Density"^^La Te X ep
-
in defining formulation dp "$s$, Fraction Of Population Density Of Susceptibles"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
-
is deterministic dp "true"^^boolean
IRI: https://mardi4nfdi.de/mathmoddb#RotationalConstant
-
belongs to
-
Quantity c
-
has facts
-
description ap "In rotational spectroscopy, the energy levels of a molecule are often given in terms of its rotational constant"@en
-
wikidata I D ap Q904380 ep
Second Eigenvalue of Orthogonal Matrixni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#SecondEigenvalueofOrthogonalMatrix
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belongs to
-
Quantity c
IRI: https://mardi4nfdi.de/mathmoddb#SemiconductorCurrentVoltage
-
belongs to
-
Computational Task c
-
has facts
-
applies model op Drift-Diffusion Model ni
-
contains constant op Permittivity (Vacuum) ni
-
description ap "In simulations of semiconductor devices, one is usually interested in IV-curves displaying the current voltage charateristics, i.e., the dependence of terminal currents on applied voltages. Therefore, calculating terminal currents accurately is crucial to a successful postprocessing of the simulated field data."@en
IRI: https://mardi4nfdi.de/mathmoddb#SolarSystemModel
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belongs to
-
Mathematical Model c
-
has facts
-
models op Solar System Mechanics ni
-
description ap "Neglecting dwarf planets, satellites (e.g. Moon), asteroids, as well as the interaction with other stars or exoplanets. The numerical model of the Solar System consists of a set of mathematical equations, which, when solved, give the approximate positions of the planets as a function of time."@en
-
wikidata I D ap Q7069658 ep
IRI: https://mardi4nfdi.de/mathmoddb#SpatialVariable
-
belongs to
-
Quantity c
IRI: https://mardi4nfdi.de/mathmoddb#SpreadingRateTimeDependent
-
belongs to
-
Quantity c
IRI: https://mardi4nfdi.de/mathmoddb#StokesEquation
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Stokes Model ni
-
contains quantity op Fluid Density ni
-
contains quantity op Fluid Kinematic Viscosity (Free Flow) ni
-
contains quantity op Fluid Pressure (Free Flow) ni
-
contains quantity op Fluid Velocity (Free Flow) ni
-
contains quantity op Time ni
-
defining formulation dp "$\begin{align} \frac{\partial v}{\partial t} + \nabla \cdot ( - \nu \left(\nabla v^{ff} + \nabla v^{\mathrm{ff,T}} \right)+ \rho^{-1} p^{ff} I ) &= 0 \\ \nabla \cdot v^{ff} &= 0 \end{align}$"^^La Te X ep
-
in defining formulation dp "$I$, Identity Map"^^La Te X ep
-
in defining formulation dp "$\nu$, Fluid Kinematic Viscosity (Free Flow)"^^La Te X ep
-
in defining formulation dp "$\rho$, Fluid Density"^^La Te X ep
-
in defining formulation dp "$p^{ff}$, Fluid Pressure (Free Flow)"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
-
in defining formulation dp "$v^{ff}$, Fluid Velocity (Free Flow)"^^La Te X ep
-
is space-continuous dp "true"^^boolean
-
is time-continuous dp "true"^^boolean
-
description ap "Stokes equation (also Stokes flow, Stokes law, creeping flow or creeping motion) describes a fluid flow with small advective inertial forces compared to viscous forces, with a low Reynolds number ($Re << 1$). It occurs in situations with very slow fluid velocities, high viscosities, or small flow length scales."@en
IRI: https://mardi4nfdi.de/mathmoddb#NavierStokesModel
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belongs to
-
Mathematical Model c
-
has facts
-
description ap "The Stokes model describes a fluid flow with small advective inertial forces compared to viscous forces, with a low Reynolds number ($Re << 1$). It occurs in situations with very slow fluid velocities, high viscosities, or small flow length scales."@en
IRI: https://mardi4nfdi.de/mathmoddb#StressOfCrystal
-
belongs to
-
Quantity c
IRI: https://mardi4nfdi.de/mathmoddb#StressTensorPiolaKirchhoff
-
belongs to
-
Quantity c
-
has facts
-
generalized by quantity op Mechanical Stress ni
-
description ap "In the case of finite deformations, the Piola–Kirchhoff stress tensors express the stress relative to the reference configuration. This is in contrast to the Cauchy stress tensor which expresses the stress relative to the present configuration. For infinitesimal deformations and rotations, the Cauchy and Piola–Kirchhoff tensors are identical."@en
-
wikidata I D ap Q9291589 ep
Suan (2010) Kinetic and reactor modelling of lipases catalyzed (R,S)-1-phenylethanol resolutionni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Suan_2010_Kinetic_and_reactor_modelling_of_lipases_catalyzed_R_S-1-phenylethanol_resolution
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belongs to
-
Publication c
-
has facts
-
surveys op Bi Bi Reaction Ping Pong Mechanism (ODE Model) ni
-
description ap "Lee Suan, Chua and Kian Kai, Cheng and Chew Tin, Lee and Sarmid, Mohamad Roji (2010) Kinetic and reactor modelling of lipases catalyzed (R,S)-1-phenylethanol resolution. Iranica Journal of Energy and Environment, 1 (3). pp. 234-245. ISSN 2079-2115"@en
IRI: https://mardi4nfdi.de/mathmoddb#SurfaceForceDensity
-
belongs to
-
Quantity c
Susceptible Infectious Epidemic Spreading ODE Systemni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#SusceptibleInfectiousEpidemicSpreadingODESystem
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains formulation op Conservation of City Numbers ni
-
contains formulation op Susceptible Cities ODE ni
-
contains quantity op Contact Network ni
-
contains quantity op Number of Cities ni
-
contains quantity op Number Of Infected Cities ni
-
contains quantity op Number of Regions ni
-
contains quantity op Number Of Susceptible Cities ni
-
contains quantity op Rate Of Change Of Susceptible Cities ni
-
contains quantity op Region ni
-
contains quantity op Spreading Rate (Time-dependent) ni
-
contains quantity op Time ni
-
defining formulation dp "$\begin{align} \frac{ds_m(t)}{dt} &= -s_m(t) \alpha(t) \sum_{n=1}^{N_R} G_{m,n} i_n(t) \\ i_m(t) &= P_m - s_m(t) \end{align}$"^^La Te X ep
-
in defining formulation dp "$G_{m,n}$, Contact Network"^^La Te X ep
-
in defining formulation dp "$N_R$, Number of Regions"^^La Te X ep
-
in defining formulation dp "$P_m$, Number of Cities"^^La Te X ep
-
in defining formulation dp "$\alpha(t)$, Spreading Rate (Time-dependent)"^^La Te X ep
-
in defining formulation dp "$\frac{ds_m(t)}{dt}$, Rate of Change of Susceptible Cities"^^La Te X ep
-
in defining formulation dp "$i$, Number Of Infected Cities"^^La Te X ep
-
in defining formulation dp "$m$, Region"^^La Te X ep
-
in defining formulation dp "$n$, Region"^^La Te X ep
-
in defining formulation dp "$s_m(t)$, Number Of Susceptible Cities"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "true"^^boolean
-
is dynamic dp "true"^^boolean
-
is linear dp "false"^^boolean
Sylvester (1884) Sur léquations en matrices px = xqni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Sylvester_1884_Sur_léquations_en_matrices_px_xq
-
belongs to
-
Publication c
Tangential Interaction Force Of Two Particlesni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Tangential_Interaction_Force_Of_Two_Particles
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Linear Discrete Element Method ni
-
defining formulation dp "$\boldsymbol F^T_{ij}=-k^T_{ij}\boldsymbol\xi_{ij}-d^T_{ij}\dot{\boldsymbol \xi}_{ij}$"^^La Te X ep
-
in defining formulation dp "$\boldsymbol F_{ij}^T$, tangential interaction force"^^La Te X ep
-
in defining formulation dp "$\boldsymbol \xi'=\boldsymbol x_{C_{ji}}-\boldsymbol x_{C_{ij}}$"^^La Te X ep
-
in defining formulation dp "$\boldsymbol \xi^T_{ij}=\xi'{ij}-\langle \boldsymbol\xi_{ij}',\boldsymbol n_{ij}\rangle \boldsymbol n_{ij}$"^^La Te X ep
-
in defining formulation dp "$\boldsymbol t = \boldsymbol \xi_{ij} / \lVert \boldsymbol \xi_{ij}\rVert$, tangential unit vector"^^La Te X ep
-
in defining formulation dp "$\boldsymbol x_{C_{ij}}$, global contact point between particles $i$ and $j$"^^La Te X ep
-
in defining formulation dp "$\dot{\boldsymbol \xi}_{ij}=\langle \boldsymbol v_i-\boldsymbol v_j, \boldsymbol t\rangle \boldsymbol t$, tangential component of relative veloctiy"^^La Te X ep
IRI: https://mardi4nfdi.de/mathmoddb#Torque_Of_Particle
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Linear Discrete Element Method ni
-
defining formulation dp "$\mathbf T_i = (\mathbf x_{a_{ij}} - \mathbf x_i)\times \mathbf F_T$"^^La Te X ep
-
in defining formulation dp "$\mathbf F_T$, tangential interaction force between particles $i$ and $j$"^^La Te X ep
-
in defining formulation dp "$\mathbf T_i$, torque acting on particle $i$"^^La Te X ep
-
in defining formulation dp "$\mathbf x_i$, position of particle $i$"^^La Te X ep
-
in defining formulation dp "$\mathbf x_{a_{ij}} = \mathbf x_i + \frac{r_i}{r_i + r_j}(\mathbf x_i - \mathbf x_j)$, actuation point, i.e. mid-point of contact area between particles $i$ and $j$ with radii $r_i$ and $r_j$"^^La Te X ep
-
description ap "angular velocity needs to be taken into account when transforming the contact point between two particles from local to global coordinates"@en
IRI: https://mardi4nfdi.de/mathmoddb#TotalPopulationDensity
-
belongs to
-
Quantity c
-
has facts
-
description ap "typically expressed as the number of people per square kilometer or square mile"@en
Transmission Electron Microscopyni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#TransmissionElectronMicroscopy
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belongs to
-
Research Field c
-
has facts
-
description ap "As such, TEM has become an indispensable experimental tool to examine objects in life sciences or in material sciences at nanoscales. See also WIAS annual report 2021"@en
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wikidata I D ap Q110779037 ep
IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionODESystem
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belongs to
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Mathematical Formulation c
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has facts
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contains formulation op Enzyme Concentration ODE (Uni Uni Reaction) ni
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contains formulation op Enzyme - Substrate - Complex Concentration ODE (Uni Uni Reaction) ni
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contains formulation op Product Concentration ODE (Uni Uni Reaction) ni
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contains formulation op Substrate Concentration ODE (Uni Uni Reaction) ni
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contains quantity op Concentration ni
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contains quantity op Reaction Rate Constant ni
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contains quantity op Reaction Rate ni
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contains quantity op Time ni
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defining formulation dp "$\begin{align} \frac{dc_{S}}{dt}&=-k_{1}*c_{E}*c_{S}+k_{-1}*c_{ES} \\ \frac{dc_{P}}{dt}&=k_{2}*c_{ES}-k_{-2}*c_{E}*c_{P} \\ \frac{dc_{E}}{dt}&=-k_{1}*c_{E}*c_{S}+k_{-1}*c_{ES}+k_{2}*c_{ES}-k_{-2}*c_{E}*c_{P} \\ \frac{dc_{ES}}{dt}&=k_{1}*c_{E}*c_{S}-k_{-1}*c_{ES}-k_{2}*c_{ES}+k_{-2}*c_{E}*c_{P} \end{align}$"^^La Te X ep
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in defining formulation dp "$\frac{dc_{ES}}{dt}$, Reaction Rate"^^La Te X ep
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in defining formulation dp "$\frac{dc_{E}}{dt}$, Reaction Rate"^^La Te X ep
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in defining formulation dp "$\frac{dc_{P}}{dt}$, Reaction Rate"^^La Te X ep
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in defining formulation dp "$\frac{dc_{S}}{dt}$, Reaction Rate"^^La Te X ep
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in defining formulation dp "$c_{ES}$, Concentration"^^La Te X ep
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in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
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in defining formulation dp "$c_{P}$, Concentration"^^La Te X ep
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in defining formulation dp "$c_{S}$, Concentration"^^La Te X ep
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in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$t$, Time"^^La Te X ep
Uni Uni Reaction with Reversible Complete Inhibitionni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionwithReversibleCompleteInhibition
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belongs to
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Research Problem c
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has facts
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contained in field op Enzyme Kinetics ni
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description ap "Uni Uni Reaction with reversible inhibition. The enzyme-inhibitor-substrate complex (EIS) cannot form product, the inhibition is thus complete."@en
IRI: https://mardi4nfdi.de/mathmoddb#UnknownMatrix
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belongs to
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Quantity c
IRI: https://mardi4nfdi.de/mathmoddb#ViscousDissipationPotential
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belongs to
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Quantity c
IRI: https://mardi4nfdi.de/mathmoddb#WhiteNoise
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belongs to
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Quantity c
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has facts
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description ap "Delta-correlated stationary Gaussian process with zero-mean, i.e., a random signal with equal intensity at all frequencies, yielding a constant power spectral density."@en
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wikidata I D ap Q381287 ep